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Finding the Fourth Proportional to 527,115.47, 727,416.27 and 285,392.97

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Solution

The fourth proportional to 527,115.47, 727,416.27 and 285,392.97 is: 393,840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,115.47 : 727,416.27 = 285,392.97 : x
  2. Step 2: Convert to fraction form
    527,115.47/727,416.27 = 285,392.97/x
  3. Step 3: Cross multiply
    527,115.47x = 727,416.27 × 285,392.97
  4. Step 4: Simplify right side
    527,115.47x = 207,599,489,721.62
  5. Step 5: Solve for x
    x = 207,599,489,721.62/527,115.47
  6. Step 6: Final answer
    x = 393,840.63

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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.