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Finding the Fourth Proportional to 418,562.46, 577,613.25 and 227,575.98

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Solution

The fourth proportional to 418,562.46, 577,613.25 and 227,575.98 is: 314,053.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,562.46 : 577,613.25 = 227,575.98 : x
  2. Step 2: Convert to fraction form
    418,562.46/577,613.25 = 227,575.98/x
  3. Step 3: Cross multiply
    418,562.46x = 577,613.25 × 227,575.98
  4. Step 4: Simplify right side
    418,562.46x = 131,450,901,429.74
  5. Step 5: Solve for x
    x = 131,450,901,429.74/418,562.46
  6. Step 6: Final answer
    x = 314,053.25

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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.