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Finding the Fourth Proportional to 410,342.95, 566,529.29 and 265,224.70

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Solution

The fourth proportional to 410,342.95, 566,529.29 and 265,224.70 is: 366,175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,342.95 : 566,529.29 = 265,224.70 : x
  2. Step 2: Convert to fraction form
    410,342.95/566,529.29 = 265,224.70/x
  3. Step 3: Cross multiply
    410,342.95x = 566,529.29 × 265,224.70
  4. Step 4: Simplify right side
    410,342.95x = 150,257,560,981.46
  5. Step 5: Solve for x
    x = 150,257,560,981.46/410,342.95
  6. Step 6: Final answer
    x = 366,175.56

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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.