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Finding the Fourth Proportional to 463,547.67, 695,429.33 and 143,682.57

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Solution

The fourth proportional to 463,547.67, 695,429.33 and 143,682.57 is: 215,557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,547.67 : 695,429.33 = 143,682.57 : x
  2. Step 2: Convert to fraction form
    463,547.67/695,429.33 = 143,682.57/x
  3. Step 3: Cross multiply
    463,547.67x = 695,429.33 × 143,682.57
  4. Step 4: Simplify right side
    463,547.67x = 99,921,073,387.78
  5. Step 5: Solve for x
    x = 99,921,073,387.78/463,547.67
  6. Step 6: Final answer
    x = 215,557.28

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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.