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Finding the Fourth Proportional to 407,834.80, 611,460.60 and 183,011.20

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Solution

The fourth proportional to 407,834.80, 611,460.60 and 183,011.20 is: 274,385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,834.80 : 611,460.60 = 183,011.20 : x
  2. Step 2: Convert to fraction form
    407,834.80/611,460.60 = 183,011.20/x
  3. Step 3: Cross multiply
    407,834.80x = 611,460.60 × 183,011.20
  4. Step 4: Simplify right side
    407,834.80x = 111,904,138,158.72
  5. Step 5: Solve for x
    x = 111,904,138,158.72/407,834.80
  6. Step 6: Final answer
    x = 274,385.95

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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.