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Finding the Fourth Proportional to 397,921.44, 596,862.72 and 148,584

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Solution

The fourth proportional to 397,921.44, 596,862.72 and 148,584 is: 222,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,921.44 : 596,862.72 = 148,584 : x
  2. Step 2: Convert to fraction form
    397,921.44/596,862.72 = 148,584/x
  3. Step 3: Cross multiply
    397,921.44x = 596,862.72 × 148,584
  4. Step 4: Simplify right side
    397,921.44x = 88,684,250,388.48
  5. Step 5: Solve for x
    x = 88,684,250,388.48/397,921.44
  6. Step 6: Final answer
    x = 222,868.74

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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.