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Finding the Fourth Proportional to 410,477.60, 566,494.12 and 229,224.56

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Solution

The fourth proportional to 410,477.60, 566,494.12 and 229,224.56 is: 316,349.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,477.60 : 566,494.12 = 229,224.56 : x
  2. Step 2: Convert to fraction form
    410,477.60/566,494.12 = 229,224.56/x
  3. Step 3: Cross multiply
    410,477.60x = 566,494.12 × 229,224.56
  4. Step 4: Simplify right side
    410,477.60x = 129,854,365,399.59
  5. Step 5: Solve for x
    x = 129,854,365,399.59/410,477.60
  6. Step 6: Final answer
    x = 316,349.46

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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.