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Finding the Fourth Proportional to 475,874.80, 656,695.96 and 261,012.98

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Solution

The fourth proportional to 475,874.80, 656,695.96 and 261,012.98 is: 360,191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,874.80 : 656,695.96 = 261,012.98 : x
  2. Step 2: Convert to fraction form
    475,874.80/656,695.96 = 261,012.98/x
  3. Step 3: Cross multiply
    475,874.80x = 656,695.96 × 261,012.98
  4. Step 4: Simplify right side
    475,874.80x = 171,406,170,462.77
  5. Step 5: Solve for x
    x = 171,406,170,462.77/475,874.80
  6. Step 6: Final answer
    x = 360,191.74

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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.