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Finding the Fourth Proportional to 418,534.70, 577,540.74 and 232,270.88

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Solution

The fourth proportional to 418,534.70, 577,540.74 and 232,270.88 is: 320,513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,534.70 : 577,540.74 = 232,270.88 : x
  2. Step 2: Convert to fraction form
    418,534.70/577,540.74 = 232,270.88/x
  3. Step 3: Cross multiply
    418,534.70x = 577,540.74 × 232,270.88
  4. Step 4: Simplify right side
    418,534.70x = 134,145,895,915.65
  5. Step 5: Solve for x
    x = 134,145,895,915.65/418,534.70
  6. Step 6: Final answer
    x = 320,513.20

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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.