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Finding the Fourth Proportional to 463,562.60, 695,636.42 and 197,322.71

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Solution

The fourth proportional to 463,562.60, 695,636.42 and 197,322.71 is: 296,108.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,562.60 : 695,636.42 = 197,322.71 : x
  2. Step 2: Convert to fraction form
    463,562.60/695,636.42 = 197,322.71/x
  3. Step 3: Cross multiply
    463,562.60x = 695,636.42 × 197,322.71
  4. Step 4: Simplify right side
    463,562.60x = 137,264,859,104.30
  5. Step 5: Solve for x
    x = 137,264,859,104.30/463,562.60
  6. Step 6: Final answer
    x = 296,108.57

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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.