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Finding the Fourth Proportional to 458,106.14, 632,262.35 and 254,222.55

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Solution

The fourth proportional to 458,106.14, 632,262.35 and 254,222.55 is: 350,869.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,106.14 : 632,262.35 = 254,222.55 : x
  2. Step 2: Convert to fraction form
    458,106.14/632,262.35 = 254,222.55/x
  3. Step 3: Cross multiply
    458,106.14x = 632,262.35 × 254,222.55
  4. Step 4: Simplify right side
    458,106.14x = 160,735,347,521.55
  5. Step 5: Solve for x
    x = 160,735,347,521.55/458,106.14
  6. Step 6: Final answer
    x = 350,869.23

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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.