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Finding the Fourth Proportional to 274,620.80, 411,931.20 and 116,854.40

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Solution

The fourth proportional to 274,620.80, 411,931.20 and 116,854.40 is: 175,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,620.80 : 411,931.20 = 116,854.40 : x
  2. Step 2: Convert to fraction form
    274,620.80/411,931.20 = 116,854.40/x
  3. Step 3: Cross multiply
    274,620.80x = 411,931.20 × 116,854.40
  4. Step 4: Simplify right side
    274,620.80x = 48,135,973,217.28
  5. Step 5: Solve for x
    x = 48,135,973,217.28/274,620.80
  6. Step 6: Final answer
    x = 175,281.60

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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.