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Finding the Fourth Proportional to 662,229.72, 914,052.76 and 407,794.14

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Solution

The fourth proportional to 662,229.72, 914,052.76 and 407,794.14 is: 562,864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,229.72 : 914,052.76 = 407,794.14 : x
  2. Step 2: Convert to fraction form
    662,229.72/914,052.76 = 407,794.14/x
  3. Step 3: Cross multiply
    662,229.72x = 914,052.76 × 407,794.14
  4. Step 4: Simplify right side
    662,229.72x = 372,745,359,178.83
  5. Step 5: Solve for x
    x = 372,745,359,178.83/662,229.72
  6. Step 6: Final answer
    x = 562,864.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.