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Finding the Fourth Proportional to 527,140.76, 727,454.56 and 285,423.49

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Solution

The fourth proportional to 527,140.76, 727,454.56 and 285,423.49 is: 393,884.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,140.76 : 727,454.56 = 285,423.49 : x
  2. Step 2: Convert to fraction form
    527,140.76/727,454.56 = 285,423.49/x
  3. Step 3: Cross multiply
    527,140.76x = 727,454.56 × 285,423.49
  4. Step 4: Simplify right side
    527,140.76x = 207,632,616,799.42
  5. Step 5: Solve for x
    x = 207,632,616,799.42/527,140.76
  6. Step 6: Final answer
    x = 393,884.58

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1.5x scale

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.