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Finding the Fourth Proportional to 409,415.40, 564,994.42 and 237,366.80

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Solution

The fourth proportional to 409,415.40, 564,994.42 and 237,366.80 is: 327,566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,415.40 : 564,994.42 = 237,366.80 : x
  2. Step 2: Convert to fraction form
    409,415.40/564,994.42 = 237,366.80/x
  3. Step 3: Cross multiply
    409,415.40x = 564,994.42 × 237,366.80
  4. Step 4: Simplify right side
    409,415.40x = 134,110,917,493.26
  5. Step 5: Solve for x
    x = 134,110,917,493.26/409,415.40
  6. Step 6: Final answer
    x = 327,566.86

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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.