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Finding the Fourth Proportional to 722,312.43, 996,311.19 and 464,515.31

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Solution

The fourth proportional to 722,312.43, 996,311.19 and 464,515.31 is: 640,722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,312.43 : 996,311.19 = 464,515.31 : x
  2. Step 2: Convert to fraction form
    722,312.43/996,311.19 = 464,515.31/x
  3. Step 3: Cross multiply
    722,312.43x = 996,311.19 × 464,515.31
  4. Step 4: Simplify right side
    722,312.43x = 462,801,801,279.32
  5. Step 5: Solve for x
    x = 462,801,801,279.32/722,312.43
  6. Step 6: Final answer
    x = 640,722.47

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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.