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Finding the Fourth Proportional to 506,457.68, 698,922.12 and 280,118.48

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Solution

The fourth proportional to 506,457.68, 698,922.12 and 280,118.48 is: 386,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,457.68 : 698,922.12 = 280,118.48 : x
  2. Step 2: Convert to fraction form
    506,457.68/698,922.12 = 280,118.48/x
  3. Step 3: Cross multiply
    506,457.68x = 698,922.12 × 280,118.48
  4. Step 4: Simplify right side
    506,457.68x = 195,781,001,892.78
  5. Step 5: Solve for x
    x = 195,781,001,892.78/506,457.68
  6. Step 6: Final answer
    x = 386,569.32

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