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Finding the Fourth Proportional to 232,230.78, 319,763.34 and 203,384.16

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Solution

The fourth proportional to 232,230.78, 319,763.34 and 203,384.16 is: 280,043.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,230.78 : 319,763.34 = 203,384.16 : x
  2. Step 2: Convert to fraction form
    232,230.78/319,763.34 = 203,384.16/x
  3. Step 3: Cross multiply
    232,230.78x = 319,763.34 × 203,384.16
  4. Step 4: Simplify right side
    232,230.78x = 65,034,798,304.69
  5. Step 5: Solve for x
    x = 65,034,798,304.69/232,230.78
  6. Step 6: Final answer
    x = 280,043.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.