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Finding the Fourth Proportional to 698,779.24, 964,349.52 and 392,951.86

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Solution

The fourth proportional to 698,779.24, 964,349.52 and 392,951.86 is: 542,292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,779.24 : 964,349.52 = 392,951.86 : x
  2. Step 2: Convert to fraction form
    698,779.24/964,349.52 = 392,951.86/x
  3. Step 3: Cross multiply
    698,779.24x = 964,349.52 × 392,951.86
  4. Step 4: Simplify right side
    698,779.24x = 378,942,937,574.11
  5. Step 5: Solve for x
    x = 378,942,937,574.11/698,779.24
  6. Step 6: Final answer
    x = 542,292.78

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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.