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Finding the Fourth Proportional to 598,537.92, 897,954.84 and 177,813.12

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Solution

The fourth proportional to 598,537.92, 897,954.84 and 177,813.12 is: 266,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,537.92 : 897,954.84 = 177,813.12 : x
  2. Step 2: Convert to fraction form
    598,537.92/897,954.84 = 177,813.12/x
  3. Step 3: Cross multiply
    598,537.92x = 897,954.84 × 177,813.12
  4. Step 4: Simplify right side
    598,537.92x = 159,668,151,719.50
  5. Step 5: Solve for x
    x = 159,668,151,719.50/598,537.92
  6. Step 6: Final answer
    x = 266,763.64

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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.