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Finding the Fourth Proportional to 488,015.70, 732,023.55 and 411,033.30

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Solution

The fourth proportional to 488,015.70, 732,023.55 and 411,033.30 is: 616,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,015.70 : 732,023.55 = 411,033.30 : x
  2. Step 2: Convert to fraction form
    488,015.70/732,023.55 = 411,033.30/x
  3. Step 3: Cross multiply
    488,015.70x = 732,023.55 × 411,033.30
  4. Step 4: Simplify right side
    488,015.70x = 300,886,055,434.22
  5. Step 5: Solve for x
    x = 300,886,055,434.22/488,015.70
  6. Step 6: Final answer
    x = 616,549.95

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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.