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Finding the Fourth Proportional to 409,269.27, 564,769.53 and 225,501.69

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Solution

The fourth proportional to 409,269.27, 564,769.53 and 225,501.69 is: 311,180.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,269.27 : 564,769.53 = 225,501.69 : x
  2. Step 2: Convert to fraction form
    409,269.27/564,769.53 = 225,501.69/x
  3. Step 3: Cross multiply
    409,269.27x = 564,769.53 × 225,501.69
  4. Step 4: Simplify right side
    409,269.27x = 127,356,483,475.51
  5. Step 5: Solve for x
    x = 127,356,483,475.51/409,269.27
  6. Step 6: Final answer
    x = 311,180.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.