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Finding the Fourth Proportional to 463,547.66, 695,429.34 and 143,682.56

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Solution

The fourth proportional to 463,547.66, 695,429.34 and 143,682.56 is: 215,557.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,547.66 : 695,429.34 = 143,682.56 : x
  2. Step 2: Convert to fraction form
    463,547.66/695,429.34 = 143,682.56/x
  3. Step 3: Cross multiply
    463,547.66x = 695,429.34 × 143,682.56
  4. Step 4: Simplify right side
    463,547.66x = 99,921,067,870.31
  5. Step 5: Solve for x
    x = 99,921,067,870.31/463,547.66
  6. Step 6: Final answer
    x = 215,557.27

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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.