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Finding the Fourth Proportional to 598,365, 825,742.61 and 326,432.91

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Solution

The fourth proportional to 598,365, 825,742.61 and 326,432.91 is: 450,476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,365 : 825,742.61 = 326,432.91 : x
  2. Step 2: Convert to fraction form
    598,365/825,742.61 = 326,432.91/x
  3. Step 3: Cross multiply
    598,365x = 825,742.61 × 326,432.91
  4. Step 4: Simplify right side
    598,365x = 269,549,563,093.30
  5. Step 5: Solve for x
    x = 269,549,563,093.30/598,365
  6. Step 6: Final answer
    x = 450,476.82

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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.