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Finding the Fourth Proportional to 432,388.86, 648,617.85 and 151,969.02

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Solution

The fourth proportional to 432,388.86, 648,617.85 and 151,969.02 is: 227,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,388.86 : 648,617.85 = 151,969.02 : x
  2. Step 2: Convert to fraction form
    432,388.86/648,617.85 = 151,969.02/x
  3. Step 3: Cross multiply
    432,388.86x = 648,617.85 × 151,969.02
  4. Step 4: Simplify right side
    432,388.86x = 98,569,819,019.01
  5. Step 5: Solve for x
    x = 98,569,819,019.01/432,388.86
  6. Step 6: Final answer
    x = 227,965.68

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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.