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Finding the Fourth Proportional to 410,620.76, 566,344.40 and 353,356.59

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Solution

The fourth proportional to 410,620.76, 566,344.40 and 353,356.59 is: 487,363.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,620.76 : 566,344.40 = 353,356.59 : x
  2. Step 2: Convert to fraction form
    410,620.76/566,344.40 = 353,356.59/x
  3. Step 3: Cross multiply
    410,620.76x = 566,344.40 × 353,356.59
  4. Step 4: Simplify right side
    410,620.76x = 200,121,524,182.81
  5. Step 5: Solve for x
    x = 200,121,524,182.81/410,620.76
  6. Step 6: Final answer
    x = 487,363.39

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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.