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Finding the Fourth Proportional to 341,320.16, 471,020.40 and 190,417.44

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Solution

The fourth proportional to 341,320.16, 471,020.40 and 190,417.44 is: 262,775.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,320.16 : 471,020.40 = 190,417.44 : x
  2. Step 2: Convert to fraction form
    341,320.16/471,020.40 = 190,417.44/x
  3. Step 3: Cross multiply
    341,320.16x = 471,020.40 × 190,417.44
  4. Step 4: Simplify right side
    341,320.16x = 89,690,498,755.78
  5. Step 5: Solve for x
    x = 89,690,498,755.78/341,320.16
  6. Step 6: Final answer
    x = 262,775.27

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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.