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Finding the Fourth Proportional to 317,443.38, 476,149.68 and 117,802.68

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Solution

The fourth proportional to 317,443.38, 476,149.68 and 117,802.68 is: 176,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,443.38 : 476,149.68 = 117,802.68 : x
  2. Step 2: Convert to fraction form
    317,443.38/476,149.68 = 117,802.68/x
  3. Step 3: Cross multiply
    317,443.38x = 476,149.68 × 117,802.68
  4. Step 4: Simplify right side
    317,443.38x = 56,091,708,385.14
  5. Step 5: Solve for x
    x = 56,091,708,385.14/317,443.38
  6. Step 6: Final answer
    x = 176,698.31

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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.