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Finding the Fourth Proportional to 527,102.70, 727,392.86 and 285,383.32

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Solution

The fourth proportional to 527,102.70, 727,392.86 and 285,383.32 is: 393,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,102.70 : 727,392.86 = 285,383.32 : x
  2. Step 2: Convert to fraction form
    527,102.70/727,392.86 = 285,383.32/x
  3. Step 3: Cross multiply
    527,102.70x = 727,392.86 × 285,383.32
  4. Step 4: Simplify right side
    527,102.70x = 207,585,789,331.10
  5. Step 5: Solve for x
    x = 207,585,789,331.10/527,102.70
  6. Step 6: Final answer
    x = 393,824.18

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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.