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Finding the Fourth Proportional to 409,214.34, 564,744.18 and 248,076.18

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Solution

The fourth proportional to 409,214.34, 564,744.18 and 248,076.18 is: 342,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,214.34 : 564,744.18 = 248,076.18 : x
  2. Step 2: Convert to fraction form
    409,214.34/564,744.18 = 248,076.18/x
  3. Step 3: Cross multiply
    409,214.34x = 564,744.18 × 248,076.18
  4. Step 4: Simplify right side
    409,214.34x = 140,099,578,851.63
  5. Step 5: Solve for x
    x = 140,099,578,851.63/409,214.34
  6. Step 6: Final answer
    x = 342,362.34

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Why These Related Problems?

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