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Finding the Fourth Proportional to 516,874.62, 713,182.45 and 301,973.17

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Solution

The fourth proportional to 516,874.62, 713,182.45 and 301,973.17 is: 416,661.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,874.62 : 713,182.45 = 301,973.17 : x
  2. Step 2: Convert to fraction form
    516,874.62/713,182.45 = 301,973.17/x
  3. Step 3: Cross multiply
    516,874.62x = 713,182.45 × 301,973.17
  4. Step 4: Simplify right side
    516,874.62x = 215,361,965,214.87
  5. Step 5: Solve for x
    x = 215,361,965,214.87/516,874.62
  6. Step 6: Final answer
    x = 416,661.91

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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.