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Finding the Fourth Proportional to 471,284.70, 706,927.05 and 282,327.90

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Solution

The fourth proportional to 471,284.70, 706,927.05 and 282,327.90 is: 423,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,284.70 : 706,927.05 = 282,327.90 : x
  2. Step 2: Convert to fraction form
    471,284.70/706,927.05 = 282,327.90/x
  3. Step 3: Cross multiply
    471,284.70x = 706,927.05 × 282,327.90
  4. Step 4: Simplify right side
    471,284.70x = 199,585,229,479.70
  5. Step 5: Solve for x
    x = 199,585,229,479.70/471,284.70
  6. Step 6: Final answer
    x = 423,491.85

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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.