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Finding the Fourth Proportional to 378,797.20, 567,802.20 and 154,061.20

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Solution

The fourth proportional to 378,797.20, 567,802.20 and 154,061.20 is: 230,931.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,797.20 : 567,802.20 = 154,061.20 : x
  2. Step 2: Convert to fraction form
    378,797.20/567,802.20 = 154,061.20/x
  3. Step 3: Cross multiply
    378,797.20x = 567,802.20 × 154,061.20
  4. Step 4: Simplify right side
    378,797.20x = 87,476,288,294.64
  5. Step 5: Solve for x
    x = 87,476,288,294.64/378,797.20
  6. Step 6: Final answer
    x = 230,931.72

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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.