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Finding the Fourth Proportional to 506,493.54, 698,914.11 and 280,134.18

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Solution

The fourth proportional to 506,493.54, 698,914.11 and 280,134.18 is: 386,559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,493.54 : 698,914.11 = 280,134.18 : x
  2. Step 2: Convert to fraction form
    506,493.54/698,914.11 = 280,134.18/x
  3. Step 3: Cross multiply
    506,493.54x = 698,914.11 × 280,134.18
  4. Step 4: Simplify right side
    506,493.54x = 195,789,731,095.28
  5. Step 5: Solve for x
    x = 195,789,731,095.28/506,493.54
  6. Step 6: Final answer
    x = 386,559.19

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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.