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Finding the Fourth Proportional to 397,813.62, 548,937.80 and 234,459.48

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Solution

The fourth proportional to 397,813.62, 548,937.80 and 234,459.48 is: 323,527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,813.62 : 548,937.80 = 234,459.48 : x
  2. Step 2: Convert to fraction form
    397,813.62/548,937.80 = 234,459.48/x
  3. Step 3: Cross multiply
    397,813.62x = 548,937.80 × 234,459.48
  4. Step 4: Simplify right side
    397,813.62x = 128,703,671,140.34
  5. Step 5: Solve for x
    x = 128,703,671,140.34/397,813.62
  6. Step 6: Final answer
    x = 323,527.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.