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Finding the Fourth Proportional to 343,877.80, 515,816.70 and 284,780.20

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Solution

The fourth proportional to 343,877.80, 515,816.70 and 284,780.20 is: 427,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,877.80 : 515,816.70 = 284,780.20 : x
  2. Step 2: Convert to fraction form
    343,877.80/515,816.70 = 284,780.20/x
  3. Step 3: Cross multiply
    343,877.80x = 515,816.70 × 284,780.20
  4. Step 4: Simplify right side
    343,877.80x = 146,894,382,989.34
  5. Step 5: Solve for x
    x = 146,894,382,989.34/343,877.80
  6. Step 6: Final answer
    x = 427,170.30

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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.