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Finding the Fourth Proportional to 317,854.80, 476,539.20 and 160,196.40

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Solution

The fourth proportional to 317,854.80, 476,539.20 and 160,196.40 is: 240,172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,854.80 : 476,539.20 = 160,196.40 : x
  2. Step 2: Convert to fraction form
    317,854.80/476,539.20 = 160,196.40/x
  3. Step 3: Cross multiply
    317,854.80x = 476,539.20 × 160,196.40
  4. Step 4: Simplify right side
    317,854.80x = 76,339,864,298.88
  5. Step 5: Solve for x
    x = 76,339,864,298.88/317,854.80
  6. Step 6: Final answer
    x = 240,172.13

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1.5x scale

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.