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Finding the Fourth Proportional to 317,304.10, 475,957.80 and 106,943.86

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Solution

The fourth proportional to 317,304.10, 475,957.80 and 106,943.86 is: 160,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,304.10 : 475,957.80 = 106,943.86 : x
  2. Step 2: Convert to fraction form
    317,304.10/475,957.80 = 106,943.86/x
  3. Step 3: Cross multiply
    317,304.10x = 475,957.80 × 106,943.86
  4. Step 4: Simplify right side
    317,304.10x = 50,900,764,329.11
  5. Step 5: Solve for x
    x = 50,900,764,329.11/317,304.10
  6. Step 6: Final answer
    x = 160,416.35

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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.