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Finding the Fourth Proportional to 432,205.25, 648,311.52 and 151,722.50

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Solution

The fourth proportional to 432,205.25, 648,311.52 and 151,722.50 is: 227,585.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,205.25 : 648,311.52 = 151,722.50 : x
  2. Step 2: Convert to fraction form
    432,205.25/648,311.52 = 151,722.50/x
  3. Step 3: Cross multiply
    432,205.25x = 648,311.52 × 151,722.50
  4. Step 4: Simplify right side
    432,205.25x = 98,363,444,593.20
  5. Step 5: Solve for x
    x = 98,363,444,593.20/432,205.25
  6. Step 6: Final answer
    x = 227,585.03

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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.