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Finding the Fourth Proportional to 458,109.44, 687,228.96 and 177,655.04

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Solution

The fourth proportional to 458,109.44, 687,228.96 and 177,655.04 is: 266,507.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,109.44 : 687,228.96 = 177,655.04 : x
  2. Step 2: Convert to fraction form
    458,109.44/687,228.96 = 177,655.04/x
  3. Step 3: Cross multiply
    458,109.44x = 687,228.96 × 177,655.04
  4. Step 4: Simplify right side
    458,109.44x = 122,089,688,377.96
  5. Step 5: Solve for x
    x = 122,089,688,377.96/458,109.44
  6. Step 6: Final answer
    x = 266,507.69

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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.