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Finding the Fourth Proportional to 463,838.76, 695,857.47 and 143,983.62

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Solution

The fourth proportional to 463,838.76, 695,857.47 and 143,983.62 is: 216,006.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,838.76 : 695,857.47 = 143,983.62 : x
  2. Step 2: Convert to fraction form
    463,838.76/695,857.47 = 143,983.62/x
  3. Step 3: Cross multiply
    463,838.76x = 695,857.47 × 143,983.62
  4. Step 4: Simplify right side
    463,838.76x = 100,192,077,534.64
  5. Step 5: Solve for x
    x = 100,192,077,534.64/463,838.76
  6. Step 6: Final answer
    x = 216,006.26

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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.