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Finding the Fourth Proportional to 458,034.08, 632,120.64 and 254,117.12

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Solution

The fourth proportional to 458,034.08, 632,120.64 and 254,117.12 is: 350,700.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,034.08 : 632,120.64 = 254,117.12 : x
  2. Step 2: Convert to fraction form
    458,034.08/632,120.64 = 254,117.12/x
  3. Step 3: Cross multiply
    458,034.08x = 632,120.64 × 254,117.12
  4. Step 4: Simplify right side
    458,034.08x = 160,632,676,529.36
  5. Step 5: Solve for x
    x = 160,632,676,529.36/458,034.08
  6. Step 6: Final answer
    x = 350,700.27

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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.