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Finding the Fourth Proportional to 457,734.61, 686,508.06 and 173,327.07

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Solution

The fourth proportional to 457,734.61, 686,508.06 and 173,327.07 is: 259,955.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,734.61 : 686,508.06 = 173,327.07 : x
  2. Step 2: Convert to fraction form
    457,734.61/686,508.06 = 173,327.07/x
  3. Step 3: Cross multiply
    457,734.61x = 686,508.06 × 173,327.07
  4. Step 4: Simplify right side
    457,734.61x = 118,990,432,820.60
  5. Step 5: Solve for x
    x = 118,990,432,820.60/457,734.61
  6. Step 6: Final answer
    x = 259,955.07

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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.