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Finding the Fourth Proportional to 415,968, 573,900.96 and 232,176.57

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Solution

The fourth proportional to 415,968, 573,900.96 and 232,176.57 is: 320,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,968 : 573,900.96 = 232,176.57 : x
  2. Step 2: Convert to fraction form
    415,968/573,900.96 = 232,176.57/x
  3. Step 3: Cross multiply
    415,968x = 573,900.96 × 232,176.57
  4. Step 4: Simplify right side
    415,968x = 133,246,356,412.51
  5. Step 5: Solve for x
    x = 133,246,356,412.51/415,968
  6. Step 6: Final answer
    x = 320,328.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.