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Finding the Fourth Proportional to 335,141.80, 502,712.70 and 202,431.40

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Solution

The fourth proportional to 335,141.80, 502,712.70 and 202,431.40 is: 303,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,141.80 : 502,712.70 = 202,431.40 : x
  2. Step 2: Convert to fraction form
    335,141.80/502,712.70 = 202,431.40/x
  3. Step 3: Cross multiply
    335,141.80x = 502,712.70 × 202,431.40
  4. Step 4: Simplify right side
    335,141.80x = 101,764,835,658.78
  5. Step 5: Solve for x
    x = 101,764,835,658.78/335,141.80
  6. Step 6: Final answer
    x = 303,647.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.