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Finding the Fourth Proportional to 397,630.44, 596,426.22 and 148,293

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Solution

The fourth proportional to 397,630.44, 596,426.22 and 148,293 is: 222,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,630.44 : 596,426.22 = 148,293 : x
  2. Step 2: Convert to fraction form
    397,630.44/596,426.22 = 148,293/x
  3. Step 3: Cross multiply
    397,630.44x = 596,426.22 × 148,293
  4. Step 4: Simplify right side
    397,630.44x = 88,445,833,442.46
  5. Step 5: Solve for x
    x = 88,445,833,442.46/397,630.44
  6. Step 6: Final answer
    x = 222,432.25

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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.