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Finding the Fourth Proportional to 458,117.50, 632,180.82 and 254,166.26

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Solution

The fourth proportional to 458,117.50, 632,180.82 and 254,166.26 is: 350,737.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,117.50 : 632,180.82 = 254,166.26 : x
  2. Step 2: Convert to fraction form
    458,117.50/632,180.82 = 254,166.26/x
  3. Step 3: Cross multiply
    458,117.50x = 632,180.82 × 254,166.26
  4. Step 4: Simplify right side
    458,117.50x = 160,679,034,663.13
  5. Step 5: Solve for x
    x = 160,679,034,663.13/458,117.50
  6. Step 6: Final answer
    x = 350,737.60

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