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Finding the Fourth Proportional to 317,654.64, 476,447.10 and 93,017.31

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Solution

The fourth proportional to 317,654.64, 476,447.10 and 93,017.31 is: 139,515.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,654.64 : 476,447.10 = 93,017.31 : x
  2. Step 2: Convert to fraction form
    317,654.64/476,447.10 = 93,017.31/x
  3. Step 3: Cross multiply
    317,654.64x = 476,447.10 × 93,017.31
  4. Step 4: Simplify right side
    317,654.64x = 44,317,827,599.30
  5. Step 5: Solve for x
    x = 44,317,827,599.30/317,654.64
  6. Step 6: Final answer
    x = 139,515.76

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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.