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Finding the Fourth Proportional to 432,009.20, 647,187.60 and 232,263.20

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Solution

The fourth proportional to 432,009.20, 647,187.60 and 232,263.20 is: 347,950.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,009.20 : 647,187.60 = 232,263.20 : x
  2. Step 2: Convert to fraction form
    432,009.20/647,187.60 = 232,263.20/x
  3. Step 3: Cross multiply
    432,009.20x = 647,187.60 × 232,263.20
  4. Step 4: Simplify right side
    432,009.20x = 150,317,862,976.32
  5. Step 5: Solve for x
    x = 150,317,862,976.32/432,009.20
  6. Step 6: Final answer
    x = 347,950.61

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1.5x scale

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.