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Finding the Fourth Proportional to 463,549.66, 695,617.00 and 197,309.75

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Solution

The fourth proportional to 463,549.66, 695,617.00 and 197,309.75 is: 296,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,549.66 : 695,617.00 = 197,309.75 : x
  2. Step 2: Convert to fraction form
    463,549.66/695,617.00 = 197,309.75/x
  3. Step 3: Cross multiply
    463,549.66x = 695,617.00 × 197,309.75
  4. Step 4: Simplify right side
    463,549.66x = 137,252,012,394.39
  5. Step 5: Solve for x
    x = 137,252,012,394.39/463,549.66
  6. Step 6: Final answer
    x = 296,089.12

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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.