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Finding the Fourth Proportional to 698,782.08, 964,211.28 and 392,801.76

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Solution

The fourth proportional to 698,782.08, 964,211.28 and 392,801.76 is: 542,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,782.08 : 964,211.28 = 392,801.76 : x
  2. Step 2: Convert to fraction form
    698,782.08/964,211.28 = 392,801.76/x
  3. Step 3: Cross multiply
    698,782.08x = 964,211.28 × 392,801.76
  4. Step 4: Simplify right side
    698,782.08x = 378,743,887,795.85
  5. Step 5: Solve for x
    x = 378,743,887,795.85/698,782.08
  6. Step 6: Final answer
    x = 542,005.72

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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.