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Finding the Fourth Proportional to 598,701.80, 898,182.30 and 178,020.20

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Solution

The fourth proportional to 598,701.80, 898,182.30 and 178,020.20 is: 267,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,701.80 : 898,182.30 = 178,020.20 : x
  2. Step 2: Convert to fraction form
    598,701.80/898,182.30 = 178,020.20/x
  3. Step 3: Cross multiply
    598,701.80x = 898,182.30 × 178,020.20
  4. Step 4: Simplify right side
    598,701.80x = 159,894,592,682.46
  5. Step 5: Solve for x
    x = 159,894,592,682.46/598,701.80
  6. Step 6: Final answer
    x = 267,068.84

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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.