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Finding the Fourth Proportional to 461,412.30, 692,118.45 and 343,314.30

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Solution

The fourth proportional to 461,412.30, 692,118.45 and 343,314.30 is: 514,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,412.30 : 692,118.45 = 343,314.30 : x
  2. Step 2: Convert to fraction form
    461,412.30/692,118.45 = 343,314.30/x
  3. Step 3: Cross multiply
    461,412.30x = 692,118.45 × 343,314.30
  4. Step 4: Simplify right side
    461,412.30x = 237,614,161,178.84
  5. Step 5: Solve for x
    x = 237,614,161,178.84/461,412.30
  6. Step 6: Final answer
    x = 514,971.45

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.