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Finding the Fourth Proportional to 702,371.98, 969,275.89 and 380,082.05

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Solution

The fourth proportional to 702,371.98, 969,275.89 and 380,082.05 is: 524,514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,371.98 : 969,275.89 = 380,082.05 : x
  2. Step 2: Convert to fraction form
    702,371.98/969,275.89 = 380,082.05/x
  3. Step 3: Cross multiply
    702,371.98x = 969,275.89 × 380,082.05
  4. Step 4: Simplify right side
    702,371.98x = 368,404,366,550.28
  5. Step 5: Solve for x
    x = 368,404,366,550.28/702,371.98
  6. Step 6: Final answer
    x = 524,514.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.