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Finding the Fourth Proportional to 527,416.49, 727,791.50 and 297,993.66

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Solution

The fourth proportional to 527,416.49, 727,791.50 and 297,993.66 is: 411,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,416.49 : 727,791.50 = 297,993.66 : x
  2. Step 2: Convert to fraction form
    527,416.49/727,791.50 = 297,993.66/x
  3. Step 3: Cross multiply
    527,416.49x = 727,791.50 × 297,993.66
  4. Step 4: Simplify right side
    527,416.49x = 216,877,251,311.92
  5. Step 5: Solve for x
    x = 216,877,251,311.92/527,416.49
  6. Step 6: Final answer
    x = 411,206.81

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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.