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Finding the Fourth Proportional to 457,851.98, 686,684.44 and 173,444.47

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Solution

The fourth proportional to 457,851.98, 686,684.44 and 173,444.47 is: 260,131.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,851.98 : 686,684.44 = 173,444.47 : x
  2. Step 2: Convert to fraction form
    457,851.98/686,684.44 = 173,444.47/x
  3. Step 3: Cross multiply
    457,851.98x = 686,684.44 × 173,444.47
  4. Step 4: Simplify right side
    457,851.98x = 119,101,618,753.05
  5. Step 5: Solve for x
    x = 119,101,618,753.05/457,851.98
  6. Step 6: Final answer
    x = 260,131.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.