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Finding the Fourth Proportional to 1,205,194.77, 1,663,947.89 and 746,795.79

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Solution

The fourth proportional to 1,205,194.77, 1,663,947.89 and 746,795.79 is: 1,031,060.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,194.77 : 1,663,947.89 = 746,795.79 : x
  2. Step 2: Convert to fraction form
    1,205,194.77/1,663,947.89 = 746,795.79/x
  3. Step 3: Cross multiply
    1,205,194.77x = 1,663,947.89 × 746,795.79
  4. Step 4: Simplify right side
    1,205,194.77x = 1,242,629,279,031.38
  5. Step 5: Solve for x
    x = 1,242,629,279,031.38/1,205,194.77
  6. Step 6: Final answer
    x = 1,031,060.96

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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.