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Finding the Fourth Proportional to 598,860, 826,427.52 and 330,588

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Solution

The fourth proportional to 598,860, 826,427.52 and 330,588 is: 456,211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,860 : 826,427.52 = 330,588 : x
  2. Step 2: Convert to fraction form
    598,860/826,427.52 = 330,588/x
  3. Step 3: Cross multiply
    598,860x = 826,427.52 × 330,588
  4. Step 4: Simplify right side
    598,860x = 273,207,020,981.76
  5. Step 5: Solve for x
    x = 273,207,020,981.76/598,860
  6. Step 6: Final answer
    x = 456,211.84

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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.