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Finding the Fourth Proportional to 463,344.40, 695,016.60 and 163,822.60

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Solution

The fourth proportional to 463,344.40, 695,016.60 and 163,822.60 is: 245,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,344.40 : 695,016.60 = 163,822.60 : x
  2. Step 2: Convert to fraction form
    463,344.40/695,016.60 = 163,822.60/x
  3. Step 3: Cross multiply
    463,344.40x = 695,016.60 × 163,822.60
  4. Step 4: Simplify right side
    463,344.40x = 113,859,426,455.16
  5. Step 5: Solve for x
    x = 113,859,426,455.16/463,344.40
  6. Step 6: Final answer
    x = 245,733.90

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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.