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Finding the Fourth Proportional to 409,223.84, 564,757.29 and 248,085.68

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Solution

The fourth proportional to 409,223.84, 564,757.29 and 248,085.68 is: 342,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,223.84 : 564,757.29 = 248,085.68 : x
  2. Step 2: Convert to fraction form
    409,223.84/564,757.29 = 248,085.68/x
  3. Step 3: Cross multiply
    409,223.84x = 564,757.29 × 248,085.68
  4. Step 4: Simplify right side
    409,223.84x = 140,108,196,324.61
  5. Step 5: Solve for x
    x = 140,108,196,324.61/409,223.84
  6. Step 6: Final answer
    x = 342,375.45

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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.