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Finding the Fourth Proportional to 585,422.40, 876,821.40 and 480,446.40

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Solution

The fourth proportional to 585,422.40, 876,821.40 and 480,446.40 is: 719,592.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,422.40 : 876,821.40 = 480,446.40 : x
  2. Step 2: Convert to fraction form
    585,422.40/876,821.40 = 480,446.40/x
  3. Step 3: Cross multiply
    585,422.40x = 876,821.40 × 480,446.40
  4. Step 4: Simplify right side
    585,422.40x = 421,265,685,072.96
  5. Step 5: Solve for x
    x = 421,265,685,072.96/585,422.40
  6. Step 6: Final answer
    x = 719,592.70

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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.