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Finding the Fourth Proportional to 317,355.98, 476,035.60 and 106,995.74

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Solution

The fourth proportional to 317,355.98, 476,035.60 and 106,995.74 is: 160,494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,355.98 : 476,035.60 = 106,995.74 : x
  2. Step 2: Convert to fraction form
    317,355.98/476,035.60 = 106,995.74/x
  3. Step 3: Cross multiply
    317,355.98x = 476,035.60 × 106,995.74
  4. Step 4: Simplify right side
    317,355.98x = 50,933,781,288.34
  5. Step 5: Solve for x
    x = 50,933,781,288.34/317,355.98
  6. Step 6: Final answer
    x = 160,494.16

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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.