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Finding the Fourth Proportional to 463,872.90, 695,908.56 and 144,017.76

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Solution

The fourth proportional to 463,872.90, 695,908.56 and 144,017.76 is: 216,057.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,872.90 : 695,908.56 = 144,017.76 : x
  2. Step 2: Convert to fraction form
    463,872.90/695,908.56 = 144,017.76/x
  3. Step 3: Cross multiply
    463,872.90x = 695,908.56 × 144,017.76
  4. Step 4: Simplify right side
    463,872.90x = 100,223,191,976.03
  5. Step 5: Solve for x
    x = 100,223,191,976.03/463,872.90
  6. Step 6: Final answer
    x = 216,057.44

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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.