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Finding the Fourth Proportional to 516,901.08, 713,218.93 and 301,999.65

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Solution

The fourth proportional to 516,901.08, 713,218.93 and 301,999.65 is: 416,698.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,901.08 : 713,218.93 = 301,999.65 : x
  2. Step 2: Convert to fraction form
    516,901.08/713,218.93 = 301,999.65/x
  3. Step 3: Cross multiply
    516,901.08x = 713,218.93 × 301,999.65
  4. Step 4: Simplify right side
    516,901.08x = 215,391,867,233.38
  5. Step 5: Solve for x
    x = 215,391,867,233.38/516,901.08
  6. Step 6: Final answer
    x = 416,698.43

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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.