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Finding the Fourth Proportional to 461,196.59, 636,452.26 and 257,242.25

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Solution

The fourth proportional to 461,196.59, 636,452.26 and 257,242.25 is: 354,994.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,196.59 : 636,452.26 = 257,242.25 : x
  2. Step 2: Convert to fraction form
    461,196.59/636,452.26 = 257,242.25/x
  3. Step 3: Cross multiply
    461,196.59x = 636,452.26 × 257,242.25
  4. Step 4: Simplify right side
    461,196.59x = 163,722,412,328.01
  5. Step 5: Solve for x
    x = 163,722,412,328.01/461,196.59
  6. Step 6: Final answer
    x = 354,994.85

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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.