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Finding the Fourth Proportional to 569,046.24, 853,613.10 and 169,655.76

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Solution

The fourth proportional to 569,046.24, 853,613.10 and 169,655.76 is: 254,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,046.24 : 853,613.10 = 169,655.76 : x
  2. Step 2: Convert to fraction form
    569,046.24/853,613.10 = 169,655.76/x
  3. Step 3: Cross multiply
    569,046.24x = 853,613.10 × 169,655.76
  4. Step 4: Simplify right side
    569,046.24x = 144,820,379,226.46
  5. Step 5: Solve for x
    x = 144,820,379,226.46/569,046.24
  6. Step 6: Final answer
    x = 254,496.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.