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Finding the Fourth Proportional to 598,767.40, 826,298.50 and 330,494.76

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Solution

The fourth proportional to 598,767.40, 826,298.50 and 330,494.76 is: 456,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,767.40 : 826,298.50 = 330,494.76 : x
  2. Step 2: Convert to fraction form
    598,767.40/826,298.50 = 330,494.76/x
  3. Step 3: Cross multiply
    598,767.40x = 826,298.50 × 330,494.76
  4. Step 4: Simplify right side
    598,767.40x = 273,087,324,445.86
  5. Step 5: Solve for x
    x = 273,087,324,445.86/598,767.40
  6. Step 6: Final answer
    x = 456,082.49

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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.