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Finding the Fourth Proportional to 340,016.20, 510,024.30 and 204,713.80

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Solution

The fourth proportional to 340,016.20, 510,024.30 and 204,713.80 is: 307,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,016.20 : 510,024.30 = 204,713.80 : x
  2. Step 2: Convert to fraction form
    340,016.20/510,024.30 = 204,713.80/x
  3. Step 3: Cross multiply
    340,016.20x = 510,024.30 × 204,713.80
  4. Step 4: Simplify right side
    340,016.20x = 104,409,012,545.34
  5. Step 5: Solve for x
    x = 104,409,012,545.34/340,016.20
  6. Step 6: Final answer
    x = 307,070.70

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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.