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Finding the Fourth Proportional to 458,600.82, 687,376.35 and 177,877.50

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Solution

The fourth proportional to 458,600.82, 687,376.35 and 177,877.50 is: 266,612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,600.82 : 687,376.35 = 177,877.50 : x
  2. Step 2: Convert to fraction form
    458,600.82/687,376.35 = 177,877.50/x
  3. Step 3: Cross multiply
    458,600.82x = 687,376.35 × 177,877.50
  4. Step 4: Simplify right side
    458,600.82x = 122,268,786,697.13
  5. Step 5: Solve for x
    x = 122,268,786,697.13/458,600.82
  6. Step 6: Final answer
    x = 266,612.66

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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.