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Finding the Fourth Proportional to 397,731.60, 596,597.40 and 248,432.40

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Solution

The fourth proportional to 397,731.60, 596,597.40 and 248,432.40 is: 372,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,731.60 : 596,597.40 = 248,432.40 : x
  2. Step 2: Convert to fraction form
    397,731.60/596,597.40 = 248,432.40/x
  3. Step 3: Cross multiply
    397,731.60x = 596,597.40 × 248,432.40
  4. Step 4: Simplify right side
    397,731.60x = 148,214,123,915.76
  5. Step 5: Solve for x
    x = 148,214,123,915.76/397,731.60
  6. Step 6: Final answer
    x = 372,648.60

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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.