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Finding the Fourth Proportional to 410,812.09, 566,864.33 and 229,501.49

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Solution

The fourth proportional to 410,812.09, 566,864.33 and 229,501.49 is: 316,680.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,812.09 : 566,864.33 = 229,501.49 : x
  2. Step 2: Convert to fraction form
    410,812.09/566,864.33 = 229,501.49/x
  3. Step 3: Cross multiply
    410,812.09x = 566,864.33 × 229,501.49
  4. Step 4: Simplify right side
    410,812.09x = 130,096,204,381.02
  5. Step 5: Solve for x
    x = 130,096,204,381.02/410,812.09
  6. Step 6: Final answer
    x = 316,680.57

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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.