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Finding the Fourth Proportional to 420,286.93, 579,995.30 and 229,300.34

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Solution

The fourth proportional to 420,286.93, 579,995.30 and 229,300.34 is: 316,434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,286.93 : 579,995.30 = 229,300.34 : x
  2. Step 2: Convert to fraction form
    420,286.93/579,995.30 = 229,300.34/x
  3. Step 3: Cross multiply
    420,286.93x = 579,995.30 × 229,300.34
  4. Step 4: Simplify right side
    420,286.93x = 132,993,115,441.92
  5. Step 5: Solve for x
    x = 132,993,115,441.92/420,286.93
  6. Step 6: Final answer
    x = 316,434.10

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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.