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Finding the Fourth Proportional to 410,816.80, 566,623.92 and 259,768

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Solution

The fourth proportional to 410,816.80, 566,623.92 and 259,768 is: 358,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,816.80 : 566,623.92 = 259,768 : x
  2. Step 2: Convert to fraction form
    410,816.80/566,623.92 = 259,768/x
  3. Step 3: Cross multiply
    410,816.80x = 566,623.92 × 259,768
  4. Step 4: Simplify right side
    410,816.80x = 147,190,762,450.56
  5. Step 5: Solve for x
    x = 147,190,762,450.56/410,816.80
  6. Step 6: Final answer
    x = 358,288.08

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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.