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Finding the Fourth Proportional to 397,989.60, 596,984.40 and 148,658.40

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Solution

The fourth proportional to 397,989.60, 596,984.40 and 148,658.40 is: 222,987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,989.60 : 596,984.40 = 148,658.40 : x
  2. Step 2: Convert to fraction form
    397,989.60/596,984.40 = 148,658.40/x
  3. Step 3: Cross multiply
    397,989.60x = 596,984.40 × 148,658.40
  4. Step 4: Simplify right side
    397,989.60x = 88,746,745,728.96
  5. Step 5: Solve for x
    x = 88,746,745,728.96/397,989.60
  6. Step 6: Final answer
    x = 222,987.60

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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.