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Finding the Fourth Proportional to 297,202.10, 410,298.01 and 229,069.76

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Solution

The fourth proportional to 297,202.10, 410,298.01 and 229,069.76 is: 316,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,202.10 : 410,298.01 = 229,069.76 : x
  2. Step 2: Convert to fraction form
    297,202.10/410,298.01 = 229,069.76/x
  3. Step 3: Cross multiply
    297,202.10x = 410,298.01 × 229,069.76
  4. Step 4: Simplify right side
    297,202.10x = 93,986,864,055.01
  5. Step 5: Solve for x
    x = 93,986,864,055.01/297,202.10
  6. Step 6: Final answer
    x = 316,238.90

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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.