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Finding the Fourth Proportional to 232,597.70, 349,224.60 and 144,024.20

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Solution

The fourth proportional to 232,597.70, 349,224.60 and 144,024.20 is: 216,239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,597.70 : 349,224.60 = 144,024.20 : x
  2. Step 2: Convert to fraction form
    232,597.70/349,224.60 = 144,024.20/x
  3. Step 3: Cross multiply
    232,597.70x = 349,224.60 × 144,024.20
  4. Step 4: Simplify right side
    232,597.70x = 50,296,793,635.32
  5. Step 5: Solve for x
    x = 50,296,793,635.32/232,597.70
  6. Step 6: Final answer
    x = 216,239.43

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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.