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Finding the Fourth Proportional to 598,662, 898,140.96 and 177,936.12

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Solution

The fourth proportional to 598,662, 898,140.96 and 177,936.12 is: 266,948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,662 : 898,140.96 = 177,936.12 : x
  2. Step 2: Convert to fraction form
    598,662/898,140.96 = 177,936.12/x
  3. Step 3: Cross multiply
    598,662x = 898,140.96 × 177,936.12
  4. Step 4: Simplify right side
    598,662x = 159,811,717,635.48
  5. Step 5: Solve for x
    x = 159,811,717,635.48/598,662
  6. Step 6: Final answer
    x = 266,948.16

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1.5x scale

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.