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Finding the Fourth Proportional to 432,002.55, 648,003.83 and 341,800.95

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Solution

The fourth proportional to 432,002.55, 648,003.83 and 341,800.95 is: 512,701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,002.55 : 648,003.83 = 341,800.95 : x
  2. Step 2: Convert to fraction form
    432,002.55/648,003.83 = 341,800.95/x
  3. Step 3: Cross multiply
    432,002.55x = 648,003.83 × 341,800.95
  4. Step 4: Simplify right side
    432,002.55x = 221,488,322,988.63
  5. Step 5: Solve for x
    x = 221,488,322,988.63/432,002.55
  6. Step 6: Final answer
    x = 512,701.43

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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.