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Finding the Fourth Proportional to 317,291.64, 437,863.14 and 174,052.86

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Solution

The fourth proportional to 317,291.64, 437,863.14 and 174,052.86 is: 240,193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,291.64 : 437,863.14 = 174,052.86 : x
  2. Step 2: Convert to fraction form
    317,291.64/437,863.14 = 174,052.86/x
  3. Step 3: Cross multiply
    317,291.64x = 437,863.14 × 174,052.86
  4. Step 4: Simplify right side
    317,291.64x = 76,211,331,805.58
  5. Step 5: Solve for x
    x = 76,211,331,805.58/317,291.64
  6. Step 6: Final answer
    x = 240,193.32

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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.