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Finding the Fourth Proportional to 646,298.97, 969,593.82 and 197,065.25

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Solution

The fourth proportional to 646,298.97, 969,593.82 and 197,065.25 is: 295,642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,298.97 : 969,593.82 = 197,065.25 : x
  2. Step 2: Convert to fraction form
    646,298.97/969,593.82 = 197,065.25/x
  3. Step 3: Cross multiply
    646,298.97x = 969,593.82 × 197,065.25
  4. Step 4: Simplify right side
    646,298.97x = 191,073,248,536.76
  5. Step 5: Solve for x
    x = 191,073,248,536.76/646,298.97
  6. Step 6: Final answer
    x = 295,642.20

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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.