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Finding the Fourth Proportional to 598,515.92, 897,620.28 and 177,694.16

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Solution

The fourth proportional to 598,515.92, 897,620.28 and 177,694.16 is: 266,495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,515.92 : 897,620.28 = 177,694.16 : x
  2. Step 2: Convert to fraction form
    598,515.92/897,620.28 = 177,694.16/x
  3. Step 3: Cross multiply
    598,515.92x = 897,620.28 × 177,694.16
  4. Step 4: Simplify right side
    598,515.92x = 159,501,881,653.57
  5. Step 5: Solve for x
    x = 159,501,881,653.57/598,515.92
  6. Step 6: Final answer
    x = 266,495.64

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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.