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Finding the Fourth Proportional to 527,171.83, 727,498.11 and 294,598.77

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Solution

The fourth proportional to 527,171.83, 727,498.11 and 294,598.77 is: 406,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,171.83 : 727,498.11 = 294,598.77 : x
  2. Step 2: Convert to fraction form
    527,171.83/727,498.11 = 294,598.77/x
  3. Step 3: Cross multiply
    527,171.83x = 727,498.11 × 294,598.77
  4. Step 4: Simplify right side
    527,171.83x = 214,320,046,455.58
  5. Step 5: Solve for x
    x = 214,320,046,455.58/527,171.83
  6. Step 6: Final answer
    x = 406,546.85

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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.