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Finding the Fourth Proportional to 648,020.20, 972,030.30 and 411,532.60

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Solution

The fourth proportional to 648,020.20, 972,030.30 and 411,532.60 is: 617,298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,020.20 : 972,030.30 = 411,532.60 : x
  2. Step 2: Convert to fraction form
    648,020.20/972,030.30 = 411,532.60/x
  3. Step 3: Cross multiply
    648,020.20x = 972,030.30 × 411,532.60
  4. Step 4: Simplify right side
    648,020.20x = 400,022,156,637.78
  5. Step 5: Solve for x
    x = 400,022,156,637.78/648,020.20
  6. Step 6: Final answer
    x = 617,298.90

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Why These Related Problems?

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