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Finding the Fourth Proportional to 703,959.36, 971,209.34 and 462,372.90

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Solution

The fourth proportional to 703,959.36, 971,209.34 and 462,372.90 is: 637,907.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,959.36 : 971,209.34 = 462,372.90 : x
  2. Step 2: Convert to fraction form
    703,959.36/971,209.34 = 462,372.90/x
  3. Step 3: Cross multiply
    703,959.36x = 971,209.34 × 462,372.90
  4. Step 4: Simplify right side
    703,959.36x = 449,060,879,042.89
  5. Step 5: Solve for x
    x = 449,060,879,042.89/703,959.36
  6. Step 6: Final answer
    x = 637,907.39

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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.