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Finding the Fourth Proportional to 506,437.64, 698,872.02 and 280,078.28

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Solution

The fourth proportional to 506,437.64, 698,872.02 and 280,078.28 is: 386,501.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,437.64 : 698,872.02 = 280,078.28 : x
  2. Step 2: Convert to fraction form
    506,437.64/698,872.02 = 280,078.28/x
  3. Step 3: Cross multiply
    506,437.64x = 698,872.02 × 280,078.28
  4. Step 4: Simplify right side
    506,437.64x = 195,738,873,301.73
  5. Step 5: Solve for x
    x = 195,738,873,301.73/506,437.64
  6. Step 6: Final answer
    x = 386,501.43

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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.