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Finding the Fourth Proportional to 334,783.24, 502,175.67 and 82,064.86

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Solution

The fourth proportional to 334,783.24, 502,175.67 and 82,064.86 is: 123,097.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,783.24 : 502,175.67 = 82,064.86 : x
  2. Step 2: Convert to fraction form
    334,783.24/502,175.67 = 82,064.86/x
  3. Step 3: Cross multiply
    334,783.24x = 502,175.67 × 82,064.86
  4. Step 4: Simplify right side
    334,783.24x = 41,210,976,053.96
  5. Step 5: Solve for x
    x = 41,210,976,053.96/334,783.24
  6. Step 6: Final answer
    x = 123,097.49

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