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Finding the Fourth Proportional to 517,338.12, 713,923.38 and 290,985.96

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Solution

The fourth proportional to 517,338.12, 713,923.38 and 290,985.96 is: 401,558.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,338.12 : 713,923.38 = 290,985.96 : x
  2. Step 2: Convert to fraction form
    517,338.12/713,923.38 = 290,985.96/x
  3. Step 3: Cross multiply
    517,338.12x = 713,923.38 × 290,985.96
  4. Step 4: Simplify right side
    517,338.12x = 207,741,680,095.75
  5. Step 5: Solve for x
    x = 207,741,680,095.75/517,338.12
  6. Step 6: Final answer
    x = 401,558.81

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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.