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Finding the Fourth Proportional to 514,403.52, 710,063.19 and 418,744.14

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Solution

The fourth proportional to 514,403.52, 710,063.19 and 418,744.14 is: 578,018.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,403.52 : 710,063.19 = 418,744.14 : x
  2. Step 2: Convert to fraction form
    514,403.52/710,063.19 = 418,744.14/x
  3. Step 3: Cross multiply
    514,403.52x = 710,063.19 × 418,744.14
  4. Step 4: Simplify right side
    514,403.52x = 297,334,799,842.21
  5. Step 5: Solve for x
    x = 297,334,799,842.21/514,403.52
  6. Step 6: Final answer
    x = 578,018.59

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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.