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Finding the Fourth Proportional to 541,971.40, 812,082.30 and 341,933.80

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Solution

The fourth proportional to 541,971.40, 812,082.30 and 341,933.80 is: 512,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,971.40 : 812,082.30 = 341,933.80 : x
  2. Step 2: Convert to fraction form
    541,971.40/812,082.30 = 341,933.80/x
  3. Step 3: Cross multiply
    541,971.40x = 812,082.30 × 341,933.80
  4. Step 4: Simplify right side
    541,971.40x = 277,678,386,751.74
  5. Step 5: Solve for x
    x = 277,678,386,751.74/541,971.40
  6. Step 6: Final answer
    x = 512,348.78

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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.