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Finding the Fourth Proportional to 409,213.64, 564,730.52 and 237,137.48

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Solution

The fourth proportional to 409,213.64, 564,730.52 and 237,137.48 is: 327,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,213.64 : 564,730.52 = 237,137.48 : x
  2. Step 2: Convert to fraction form
    409,213.64/564,730.52 = 237,137.48/x
  3. Step 3: Cross multiply
    409,213.64x = 564,730.52 × 237,137.48
  4. Step 4: Simplify right side
    409,213.64x = 133,918,772,391.89
  5. Step 5: Solve for x
    x = 133,918,772,391.89/409,213.64
  6. Step 6: Final answer
    x = 327,258.82

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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.