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Finding the Fourth Proportional to 458,591.96, 632,835.80 and 254,655.87

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Solution

The fourth proportional to 458,591.96, 632,835.80 and 254,655.87 is: 351,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,591.96 : 632,835.80 = 254,655.87 : x
  2. Step 2: Convert to fraction form
    458,591.96/632,835.80 = 254,655.87/x
  3. Step 3: Cross multiply
    458,591.96x = 632,835.80 × 254,655.87
  4. Step 4: Simplify right side
    458,591.96x = 161,155,349,957.13
  5. Step 5: Solve for x
    x = 161,155,349,957.13/458,591.96
  6. Step 6: Final answer
    x = 351,413.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.