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Finding the Fourth Proportional to 410,777.60, 566,817 and 229,467.11

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Solution

The fourth proportional to 410,777.60, 566,817 and 229,467.11 is: 316,633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,777.60 : 566,817 = 229,467.11 : x
  2. Step 2: Convert to fraction form
    410,777.60/566,817 = 229,467.11/x
  3. Step 3: Cross multiply
    410,777.60x = 566,817 × 229,467.11
  4. Step 4: Simplify right side
    410,777.60x = 130,065,858,888.87
  5. Step 5: Solve for x
    x = 130,065,858,888.87/410,777.60
  6. Step 6: Final answer
    x = 316,633.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.