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Finding the Fourth Proportional to 410,538.63, 566,532.30 and 229,245.51

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Solution

The fourth proportional to 410,538.63, 566,532.30 and 229,245.51 is: 316,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,538.63 : 566,532.30 = 229,245.51 : x
  2. Step 2: Convert to fraction form
    410,538.63/566,532.30 = 229,245.51/x
  3. Step 3: Cross multiply
    410,538.63x = 566,532.30 × 229,245.51
  4. Step 4: Simplify right side
    410,538.63x = 129,874,983,212.31
  5. Step 5: Solve for x
    x = 129,874,983,212.31/410,538.63
  6. Step 6: Final answer
    x = 316,352.65

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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.