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Finding the Fourth Proportional to 284,146.56, 425,673 and 177,572.16

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Solution

The fourth proportional to 284,146.56, 425,673 and 177,572.16 is: 266,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,146.56 : 425,673 = 177,572.16 : x
  2. Step 2: Convert to fraction form
    284,146.56/425,673 = 177,572.16/x
  3. Step 3: Cross multiply
    284,146.56x = 425,673 × 177,572.16
  4. Step 4: Simplify right side
    284,146.56x = 75,587,674,063.68
  5. Step 5: Solve for x
    x = 75,587,674,063.68/284,146.56
  6. Step 6: Final answer
    x = 266,016.50

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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.