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Finding the Fourth Proportional to 458,111.44, 687,231.96 and 177,657.04

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Solution

The fourth proportional to 458,111.44, 687,231.96 and 177,657.04 is: 266,510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,111.44 : 687,231.96 = 177,657.04 : x
  2. Step 2: Convert to fraction form
    458,111.44/687,231.96 = 177,657.04/x
  3. Step 3: Cross multiply
    458,111.44x = 687,231.96 × 177,657.04
  4. Step 4: Simplify right side
    458,111.44x = 122,091,595,807.00
  5. Step 5: Solve for x
    x = 122,091,595,807.00/458,111.44
  6. Step 6: Final answer
    x = 266,510.69

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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.