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Finding the Fourth Proportional to 463,326.40, 695,378.40 and 226,871.20

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Solution

The fourth proportional to 463,326.40, 695,378.40 and 226,871.20 is: 340,497.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,326.40 : 695,378.40 = 226,871.20 : x
  2. Step 2: Convert to fraction form
    463,326.40/695,378.40 = 226,871.20/x
  3. Step 3: Cross multiply
    463,326.40x = 695,378.40 × 226,871.20
  4. Step 4: Simplify right side
    463,326.40x = 157,761,332,062.08
  5. Step 5: Solve for x
    x = 157,761,332,062.08/463,326.40
  6. Step 6: Final answer
    x = 340,497.18

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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.