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Finding the Fourth Proportional to 343,334.40, 514,855.80 and 165,895.80

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Solution

The fourth proportional to 343,334.40, 514,855.80 and 165,895.80 is: 248,773.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,334.40 : 514,855.80 = 165,895.80 : x
  2. Step 2: Convert to fraction form
    343,334.40/514,855.80 = 165,895.80/x
  3. Step 3: Cross multiply
    343,334.40x = 514,855.80 × 165,895.80
  4. Step 4: Simplify right side
    343,334.40x = 85,412,414,825.64
  5. Step 5: Solve for x
    x = 85,412,414,825.64/343,334.40
  6. Step 6: Final answer
    x = 248,773.25

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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.