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Finding the Fourth Proportional to 598,650.98, 826,146 and 353,643.80

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Solution

The fourth proportional to 598,650.98, 826,146 and 353,643.80 is: 488,032.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,650.98 : 826,146 = 353,643.80 : x
  2. Step 2: Convert to fraction form
    598,650.98/826,146 = 353,643.80/x
  3. Step 3: Cross multiply
    598,650.98x = 826,146 × 353,643.80
  4. Step 4: Simplify right side
    598,650.98x = 292,161,406,664.07
  5. Step 5: Solve for x
    x = 292,161,406,664.07/598,650.98
  6. Step 6: Final answer
    x = 488,032.96

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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.