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Finding the Fourth Proportional to 598,967.97, 826,478.31 and 353,918.66

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Solution

The fourth proportional to 598,967.97, 826,478.31 and 353,918.66 is: 488,350.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,967.97 : 826,478.31 = 353,918.66 : x
  2. Step 2: Convert to fraction form
    598,967.97/826,478.31 = 353,918.66/x
  3. Step 3: Cross multiply
    598,967.97x = 826,478.31 × 353,918.66
  4. Step 4: Simplify right side
    598,967.97x = 292,506,091,861.87
  5. Step 5: Solve for x
    x = 292,506,091,861.87/598,967.97
  6. Step 6: Final answer
    x = 488,350.14

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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.