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Finding the Fourth Proportional to 340,030.20, 510,045.30 and 204,727.80

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Solution

The fourth proportional to 340,030.20, 510,045.30 and 204,727.80 is: 307,091.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,030.20 : 510,045.30 = 204,727.80 : x
  2. Step 2: Convert to fraction form
    340,030.20/510,045.30 = 204,727.80/x
  3. Step 3: Cross multiply
    340,030.20x = 510,045.30 × 204,727.80
  4. Step 4: Simplify right side
    340,030.20x = 104,420,452,169.34
  5. Step 5: Solve for x
    x = 104,420,452,169.34/340,030.20
  6. Step 6: Final answer
    x = 307,091.70

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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.