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Finding the Fourth Proportional to 474,146.91, 710,471.31 and 384,964.69

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Solution

The fourth proportional to 474,146.91, 710,471.31 and 384,964.69 is: 576,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,146.91 : 710,471.31 = 384,964.69 : x
  2. Step 2: Convert to fraction form
    474,146.91/710,471.31 = 384,964.69/x
  3. Step 3: Cross multiply
    474,146.91x = 710,471.31 × 384,964.69
  4. Step 4: Simplify right side
    474,146.91x = 273,506,367,608.04
  5. Step 5: Solve for x
    x = 273,506,367,608.04/474,146.91
  6. Step 6: Final answer
    x = 576,838.87

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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.