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Finding the Fourth Proportional to 410,052.40, 565,927.80 and 240,354.48

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Solution

The fourth proportional to 410,052.40, 565,927.80 and 240,354.48 is: 331,721.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,052.40 : 565,927.80 = 240,354.48 : x
  2. Step 2: Convert to fraction form
    410,052.40/565,927.80 = 240,354.48/x
  3. Step 3: Cross multiply
    410,052.40x = 565,927.80 × 240,354.48
  4. Step 4: Simplify right side
    410,052.40x = 136,023,282,086.54
  5. Step 5: Solve for x
    x = 136,023,282,086.54/410,052.40
  6. Step 6: Final answer
    x = 331,721.71

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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.