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Finding the Fourth Proportional to 317,873.80, 476,567.70 and 160,215.40

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Solution

The fourth proportional to 317,873.80, 476,567.70 and 160,215.40 is: 240,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,873.80 : 476,567.70 = 160,215.40 : x
  2. Step 2: Convert to fraction form
    317,873.80/476,567.70 = 160,215.40/x
  3. Step 3: Cross multiply
    317,873.80x = 476,567.70 × 160,215.40
  4. Step 4: Simplify right side
    317,873.80x = 76,353,484,682.58
  5. Step 5: Solve for x
    x = 76,353,484,682.58/317,873.80
  6. Step 6: Final answer
    x = 240,200.62

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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.