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Finding the Fourth Proportional to 527,106.18, 727,405.47 and 285,388.95

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Solution

The fourth proportional to 527,106.18, 727,405.47 and 285,388.95 is: 393,836.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,106.18 : 727,405.47 = 285,388.95 : x
  2. Step 2: Convert to fraction form
    527,106.18/727,405.47 = 285,388.95/x
  3. Step 3: Cross multiply
    527,106.18x = 727,405.47 × 285,388.95
  4. Step 4: Simplify right side
    527,106.18x = 207,593,483,307.56
  5. Step 5: Solve for x
    x = 207,593,483,307.56/527,106.18
  6. Step 6: Final answer
    x = 393,836.18

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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.