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Finding the Fourth Proportional to 527,055.88, 727,440.18 and 412,107.16

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Solution

The fourth proportional to 527,055.88, 727,440.18 and 412,107.16 is: 568,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,055.88 : 727,440.18 = 412,107.16 : x
  2. Step 2: Convert to fraction form
    527,055.88/727,440.18 = 412,107.16/x
  3. Step 3: Cross multiply
    527,055.88x = 727,440.18 × 412,107.16
  4. Step 4: Simplify right side
    527,055.88x = 299,783,306,649.69
  5. Step 5: Solve for x
    x = 299,783,306,649.69/527,055.88
  6. Step 6: Final answer
    x = 568,788.47

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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.