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Finding the Fourth Proportional to 414,462.68, 571,907.76 and 261,443.42

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Solution

The fourth proportional to 414,462.68, 571,907.76 and 261,443.42 is: 360,759.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,462.68 : 571,907.76 = 261,443.42 : x
  2. Step 2: Convert to fraction form
    414,462.68/571,907.76 = 261,443.42/x
  3. Step 3: Cross multiply
    414,462.68x = 571,907.76 × 261,443.42
  4. Step 4: Simplify right side
    414,462.68x = 149,521,520,698.94
  5. Step 5: Solve for x
    x = 149,521,520,698.94/414,462.68
  6. Step 6: Final answer
    x = 360,759.91

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1.5x scale

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.