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Finding the Fourth Proportional to 458,194.20, 687,291.30 and 433,699.80

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Solution

The fourth proportional to 458,194.20, 687,291.30 and 433,699.80 is: 650,549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,194.20 : 687,291.30 = 433,699.80 : x
  2. Step 2: Convert to fraction form
    458,194.20/687,291.30 = 433,699.80/x
  3. Step 3: Cross multiply
    458,194.20x = 687,291.30 × 433,699.80
  4. Step 4: Simplify right side
    458,194.20x = 298,078,099,351.74
  5. Step 5: Solve for x
    x = 298,078,099,351.74/458,194.20
  6. Step 6: Final answer
    x = 650,549.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.