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Finding the Fourth Proportional to 461,068.60, 636,277.40 and 257,132.41

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Solution

The fourth proportional to 461,068.60, 636,277.40 and 257,132.41 is: 354,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,068.60 : 636,277.40 = 257,132.41 : x
  2. Step 2: Convert to fraction form
    461,068.60/636,277.40 = 257,132.41/x
  3. Step 3: Cross multiply
    461,068.60x = 636,277.40 × 257,132.41
  4. Step 4: Simplify right side
    461,068.60x = 163,607,541,290.53
  5. Step 5: Solve for x
    x = 163,607,541,290.53/461,068.60
  6. Step 6: Final answer
    x = 354,844.25

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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.