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Finding the Fourth Proportional to 657,921.40, 987,342.90 and 421,838.20

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Solution

The fourth proportional to 657,921.40, 987,342.90 and 421,838.20 is: 633,052.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,921.40 : 987,342.90 = 421,838.20 : x
  2. Step 2: Convert to fraction form
    657,921.40/987,342.90 = 421,838.20/x
  3. Step 3: Cross multiply
    657,921.40x = 987,342.90 × 421,838.20
  4. Step 4: Simplify right side
    657,921.40x = 416,498,951,718.78
  5. Step 5: Solve for x
    x = 416,498,951,718.78/657,921.40
  6. Step 6: Final answer
    x = 633,052.75

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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.