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Finding the Fourth Proportional to 585,432.98, 878,946.14 and 329,446.40

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Solution

The fourth proportional to 585,432.98, 878,946.14 and 329,446.40 is: 494,617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,432.98 : 878,946.14 = 329,446.40 : x
  2. Step 2: Convert to fraction form
    585,432.98/878,946.14 = 329,446.40/x
  3. Step 3: Cross multiply
    585,432.98x = 878,946.14 × 329,446.40
  4. Step 4: Simplify right side
    585,432.98x = 289,565,635,574.93
  5. Step 5: Solve for x
    x = 289,565,635,574.93/585,432.98
  6. Step 6: Final answer
    x = 494,617.91

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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.