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Finding the Fourth Proportional to 470,272.31, 705,227.95 and 200,229.24

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Solution

The fourth proportional to 470,272.31, 705,227.95 and 200,229.24 is: 300,267.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,272.31 : 705,227.95 = 200,229.24 : x
  2. Step 2: Convert to fraction form
    470,272.31/705,227.95 = 200,229.24/x
  3. Step 3: Cross multiply
    470,272.31x = 705,227.95 × 200,229.24
  4. Step 4: Simplify right side
    470,272.31x = 141,207,255,454.11
  5. Step 5: Solve for x
    x = 141,207,255,454.11/470,272.31
  6. Step 6: Final answer
    x = 300,267.00

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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.