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Finding the Fourth Proportional to 463,546.92, 695,428.21 and 143,681.82

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Solution

The fourth proportional to 463,546.92, 695,428.21 and 143,681.82 is: 215,556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,546.92 : 695,428.21 = 143,681.82 : x
  2. Step 2: Convert to fraction form
    463,546.92/695,428.21 = 143,681.82/x
  3. Step 3: Cross multiply
    463,546.92x = 695,428.21 × 143,681.82
  4. Step 4: Simplify right side
    463,546.92x = 99,920,390,892.14
  5. Step 5: Solve for x
    x = 99,920,390,892.14/463,546.92
  6. Step 6: Final answer
    x = 215,556.15

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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.