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Finding the Fourth Proportional to 409,963.32, 565,763.40 and 237,868.29

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Solution

The fourth proportional to 409,963.32, 565,763.40 and 237,868.29 is: 328,266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,963.32 : 565,763.40 = 237,868.29 : x
  2. Step 2: Convert to fraction form
    409,963.32/565,763.40 = 237,868.29/x
  3. Step 3: Cross multiply
    409,963.32x = 565,763.40 × 237,868.29
  4. Step 4: Simplify right side
    409,963.32x = 134,577,172,502.59
  5. Step 5: Solve for x
    x = 134,577,172,502.59/409,963.32
  6. Step 6: Final answer
    x = 328,266.37

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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.