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Finding the Fourth Proportional to 598,290.48, 825,642 and 326,358.72

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Solution

The fourth proportional to 598,290.48, 825,642 and 326,358.72 is: 450,375.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,290.48 : 825,642 = 326,358.72 : x
  2. Step 2: Convert to fraction form
    598,290.48/825,642 = 326,358.72/x
  3. Step 3: Cross multiply
    598,290.48x = 825,642 × 326,358.72
  4. Step 4: Simplify right side
    598,290.48x = 269,455,466,298.24
  5. Step 5: Solve for x
    x = 269,455,466,298.24/598,290.48
  6. Step 6: Final answer
    x = 450,375.65

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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.