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Finding the Fourth Proportional to 432,563.70, 648,894.15 and 133,041.90

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Solution

The fourth proportional to 432,563.70, 648,894.15 and 133,041.90 is: 199,577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,563.70 : 648,894.15 = 133,041.90 : x
  2. Step 2: Convert to fraction form
    432,563.70/648,894.15 = 133,041.90/x
  3. Step 3: Cross multiply
    432,563.70x = 648,894.15 × 133,041.90
  4. Step 4: Simplify right side
    432,563.70x = 86,330,110,614.89
  5. Step 5: Solve for x
    x = 86,330,110,614.89/432,563.70
  6. Step 6: Final answer
    x = 199,577.80

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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.