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Finding the Fourth Proportional to 407,957.20, 611,724.61 and 183,124.03

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Solution

The fourth proportional to 407,957.20, 611,724.61 and 183,124.03 is: 274,591.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,957.20 : 611,724.61 = 183,124.03 : x
  2. Step 2: Convert to fraction form
    407,957.20/611,724.61 = 183,124.03/x
  3. Step 3: Cross multiply
    407,957.20x = 611,724.61 × 183,124.03
  4. Step 4: Simplify right side
    407,957.20x = 112,021,473,789.65
  5. Step 5: Solve for x
    x = 112,021,473,789.65/407,957.20
  6. Step 6: Final answer
    x = 274,591.24

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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.