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Finding the Fourth Proportional to 463,547.91, 695,429.71 and 143,682.82

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Solution

The fourth proportional to 463,547.91, 695,429.71 and 143,682.82 is: 215,557.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,547.91 : 695,429.71 = 143,682.82 : x
  2. Step 2: Convert to fraction form
    463,547.91/695,429.71 = 143,682.82/x
  3. Step 3: Cross multiply
    463,547.91x = 695,429.71 × 143,682.82
  4. Step 4: Simplify right side
    463,547.91x = 99,921,299,746.80
  5. Step 5: Solve for x
    x = 99,921,299,746.80/463,547.91
  6. Step 6: Final answer
    x = 215,557.65

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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.