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Finding the Fourth Proportional to 463,821.96, 695,995.38 and 197,554.71

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Solution

The fourth proportional to 463,821.96, 695,995.38 and 197,554.71 is: 296,443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,821.96 : 695,995.38 = 197,554.71 : x
  2. Step 2: Convert to fraction form
    463,821.96/695,995.38 = 197,554.71/x
  3. Step 3: Cross multiply
    463,821.96x = 695,995.38 × 197,554.71
  4. Step 4: Simplify right side
    463,821.96x = 137,497,165,457.24
  5. Step 5: Solve for x
    x = 137,497,165,457.24/463,821.96
  6. Step 6: Final answer
    x = 296,443.85

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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.