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Finding the Fourth Proportional to 506,194.32, 698,562.74 and 279,854.40

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Solution

The fourth proportional to 506,194.32, 698,562.74 and 279,854.40 is: 386,207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,194.32 : 698,562.74 = 279,854.40 : x
  2. Step 2: Convert to fraction form
    506,194.32/698,562.74 = 279,854.40/x
  3. Step 3: Cross multiply
    506,194.32x = 698,562.74 × 279,854.40
  4. Step 4: Simplify right side
    506,194.32x = 195,495,856,465.06
  5. Step 5: Solve for x
    x = 195,495,856,465.06/506,194.32
  6. Step 6: Final answer
    x = 386,207.13

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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.