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Finding the Fourth Proportional to 432,077.20, 648,115.80 and 402,552.70

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Solution

The fourth proportional to 432,077.20, 648,115.80 and 402,552.70 is: 603,829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,077.20 : 648,115.80 = 402,552.70 : x
  2. Step 2: Convert to fraction form
    432,077.20/648,115.80 = 402,552.70/x
  3. Step 3: Cross multiply
    432,077.20x = 648,115.80 × 402,552.70
  4. Step 4: Simplify right side
    432,077.20x = 260,900,765,202.66
  5. Step 5: Solve for x
    x = 260,900,765,202.66/432,077.20
  6. Step 6: Final answer
    x = 603,829.05

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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.