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Finding the Fourth Proportional to 463,254.40, 695,270.40 and 226,799.20

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Solution

The fourth proportional to 463,254.40, 695,270.40 and 226,799.20 is: 340,389.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,254.40 : 695,270.40 = 226,799.20 : x
  2. Step 2: Convert to fraction form
    463,254.40/695,270.40 = 226,799.20/x
  3. Step 3: Cross multiply
    463,254.40x = 695,270.40 × 226,799.20
  4. Step 4: Simplify right side
    463,254.40x = 157,686,770,503.68
  5. Step 5: Solve for x
    x = 157,686,770,503.68/463,254.40
  6. Step 6: Final answer
    x = 340,389.15

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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.