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Finding the Fourth Proportional to 410,723.80, 566,495.58 and 259,675

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Solution

The fourth proportional to 410,723.80, 566,495.58 and 259,675 is: 358,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,723.80 : 566,495.58 = 259,675 : x
  2. Step 2: Convert to fraction form
    410,723.80/566,495.58 = 259,675/x
  3. Step 3: Cross multiply
    410,723.80x = 566,495.58 × 259,675
  4. Step 4: Simplify right side
    410,723.80x = 147,104,739,736.50
  5. Step 5: Solve for x
    x = 147,104,739,736.50/410,723.80
  6. Step 6: Final answer
    x = 358,159.77

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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.