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Finding the Fourth Proportional to 407,971.44, 611,957.04 and 127,488.72

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Solution

The fourth proportional to 407,971.44, 611,957.04 and 127,488.72 is: 191,233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,971.44 : 611,957.04 = 127,488.72 : x
  2. Step 2: Convert to fraction form
    407,971.44/611,957.04 = 127,488.72/x
  3. Step 3: Cross multiply
    407,971.44x = 611,957.04 × 127,488.72
  4. Step 4: Simplify right side
    407,971.44x = 78,017,619,724.59
  5. Step 5: Solve for x
    x = 78,017,619,724.59/407,971.44
  6. Step 6: Final answer
    x = 191,233.04

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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.