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Finding the Fourth Proportional to 516,522.56, 712,668.76 and 301,539.09

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Solution

The fourth proportional to 516,522.56, 712,668.76 and 301,539.09 is: 416,046.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,522.56 : 712,668.76 = 301,539.09 : x
  2. Step 2: Convert to fraction form
    516,522.56/712,668.76 = 301,539.09/x
  3. Step 3: Cross multiply
    516,522.56x = 712,668.76 × 301,539.09
  4. Step 4: Simplify right side
    516,522.56x = 214,897,488,607.98
  5. Step 5: Solve for x
    x = 214,897,488,607.98/516,522.56
  6. Step 6: Final answer
    x = 416,046.66

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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.