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Finding the Fourth Proportional to 335,134.35, 502,697.10 and 82,417.02

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Solution

The fourth proportional to 335,134.35, 502,697.10 and 82,417.02 is: 123,624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,134.35 : 502,697.10 = 82,417.02 : x
  2. Step 2: Convert to fraction form
    335,134.35/502,697.10 = 82,417.02/x
  3. Step 3: Cross multiply
    335,134.35x = 502,697.10 × 82,417.02
  4. Step 4: Simplify right side
    335,134.35x = 41,430,796,944.64
  5. Step 5: Solve for x
    x = 41,430,796,944.64/335,134.35
  6. Step 6: Final answer
    x = 123,624.44

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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.