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Finding the Fourth Proportional to 432,022.20, 648,033.30 and 390,031.80

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Solution

The fourth proportional to 432,022.20, 648,033.30 and 390,031.80 is: 585,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,022.20 : 648,033.30 = 390,031.80 : x
  2. Step 2: Convert to fraction form
    432,022.20/648,033.30 = 390,031.80/x
  3. Step 3: Cross multiply
    432,022.20x = 648,033.30 × 390,031.80
  4. Step 4: Simplify right side
    432,022.20x = 252,753,594,458.94
  5. Step 5: Solve for x
    x = 252,753,594,458.94/432,022.20
  6. Step 6: Final answer
    x = 585,047.70

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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.