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Finding the Fourth Proportional to 527,985.44, 727,915.04 and 419,449.92

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Solution

The fourth proportional to 527,985.44, 727,915.04 and 419,449.92 is: 578,280.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,985.44 : 727,915.04 = 419,449.92 : x
  2. Step 2: Convert to fraction form
    527,985.44/727,915.04 = 419,449.92/x
  3. Step 3: Cross multiply
    527,985.44x = 727,915.04 × 419,449.92
  4. Step 4: Simplify right side
    527,985.44x = 305,323,905,294.80
  5. Step 5: Solve for x
    x = 305,323,905,294.80/527,985.44
  6. Step 6: Final answer
    x = 578,280.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.