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Finding the Fourth Proportional to 527,134.21, 727,445.55 and 285,416.95

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Solution

The fourth proportional to 527,134.21, 727,445.55 and 285,416.95 is: 393,875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,134.21 : 727,445.55 = 285,416.95 : x
  2. Step 2: Convert to fraction form
    527,134.21/727,445.55 = 285,416.95/x
  3. Step 3: Cross multiply
    527,134.21x = 727,445.55 × 285,416.95
  4. Step 4: Simplify right side
    527,134.21x = 207,625,290,172.07
  5. Step 5: Solve for x
    x = 207,625,290,172.07/527,134.21
  6. Step 6: Final answer
    x = 393,875.58

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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.