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Finding the Fourth Proportional to 527,297.80, 727,715.76 and 297,897.16

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Solution

The fourth proportional to 527,297.80, 727,715.76 and 297,897.16 is: 411,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,297.80 : 727,715.76 = 297,897.16 : x
  2. Step 2: Convert to fraction form
    527,297.80/727,715.76 = 297,897.16/x
  3. Step 3: Cross multiply
    527,297.80x = 727,715.76 × 297,897.16
  4. Step 4: Simplify right side
    527,297.80x = 216,784,458,191.24
  5. Step 5: Solve for x
    x = 216,784,458,191.24/527,297.80
  6. Step 6: Final answer
    x = 411,123.39

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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.