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Finding the Fourth Proportional to 397,607.20, 596,410.80 and 148,256.80

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Solution

The fourth proportional to 397,607.20, 596,410.80 and 148,256.80 is: 222,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,607.20 : 596,410.80 = 148,256.80 : x
  2. Step 2: Convert to fraction form
    397,607.20/596,410.80 = 148,256.80/x
  3. Step 3: Cross multiply
    397,607.20x = 596,410.80 × 148,256.80
  4. Step 4: Simplify right side
    397,607.20x = 88,421,956,693.44
  5. Step 5: Solve for x
    x = 88,421,956,693.44/397,607.20
  6. Step 6: Final answer
    x = 222,385.20

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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.