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Finding the Fourth Proportional to 461,041.50, 636,248.52 and 257,090.43

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Solution

The fourth proportional to 461,041.50, 636,248.52 and 257,090.43 is: 354,791.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,041.50 : 636,248.52 = 257,090.43 : x
  2. Step 2: Convert to fraction form
    461,041.50/636,248.52 = 257,090.43/x
  3. Step 3: Cross multiply
    461,041.50x = 636,248.52 × 257,090.43
  4. Step 4: Simplify right side
    461,041.50x = 163,573,405,593.66
  5. Step 5: Solve for x
    x = 163,573,405,593.66/461,041.50
  6. Step 6: Final answer
    x = 354,791.07

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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.