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Finding the Fourth Proportional to 458,428.20, 687,642.30 and 290,466.60

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Solution

The fourth proportional to 458,428.20, 687,642.30 and 290,466.60 is: 435,699.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,428.20 : 687,642.30 = 290,466.60 : x
  2. Step 2: Convert to fraction form
    458,428.20/687,642.30 = 290,466.60/x
  3. Step 3: Cross multiply
    458,428.20x = 687,642.30 × 290,466.60
  4. Step 4: Simplify right side
    458,428.20x = 199,737,120,897.18
  5. Step 5: Solve for x
    x = 199,737,120,897.18/458,428.20
  6. Step 6: Final answer
    x = 435,699.90

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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.