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Finding the Fourth Proportional to 943,482, 1,302,034.32 and 541,074

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Solution

The fourth proportional to 943,482, 1,302,034.32 and 541,074 is: 746,698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,482 : 1,302,034.32 = 541,074 : x
  2. Step 2: Convert to fraction form
    943,482/1,302,034.32 = 541,074/x
  3. Step 3: Cross multiply
    943,482x = 1,302,034.32 × 541,074
  4. Step 4: Simplify right side
    943,482x = 704,496,917,659.68
  5. Step 5: Solve for x
    x = 704,496,917,659.68/943,482
  6. Step 6: Final answer
    x = 746,698.84

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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.