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Finding the Fourth Proportional to 527,862.96, 729,052.47 and 357,801.84

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Solution

The fourth proportional to 527,862.96, 729,052.47 and 357,801.84 is: 494,174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,862.96 : 729,052.47 = 357,801.84 : x
  2. Step 2: Convert to fraction form
    527,862.96/729,052.47 = 357,801.84/x
  3. Step 3: Cross multiply
    527,862.96x = 729,052.47 × 357,801.84
  4. Step 4: Simplify right side
    527,862.96x = 260,856,315,222.55
  5. Step 5: Solve for x
    x = 260,856,315,222.55/527,862.96
  6. Step 6: Final answer
    x = 494,174.31

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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.