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Finding the Fourth Proportional to 421,198.40, 632,047.20 and 155,145.92

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Solution

The fourth proportional to 421,198.40, 632,047.20 and 155,145.92 is: 232,810.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,198.40 : 632,047.20 = 155,145.92 : x
  2. Step 2: Convert to fraction form
    421,198.40/632,047.20 = 155,145.92/x
  3. Step 3: Cross multiply
    421,198.40x = 632,047.20 × 155,145.92
  4. Step 4: Simplify right side
    421,198.40x = 98,059,544,327.42
  5. Step 5: Solve for x
    x = 98,059,544,327.42/421,198.40
  6. Step 6: Final answer
    x = 232,810.82

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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.