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Finding the Fourth Proportional to 508,108.82, 701,139.62 and 293,318.08

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Solution

The fourth proportional to 508,108.82, 701,139.62 and 293,318.08 is: 404,749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,108.82 : 701,139.62 = 293,318.08 : x
  2. Step 2: Convert to fraction form
    508,108.82/701,139.62 = 293,318.08/x
  3. Step 3: Cross multiply
    508,108.82x = 701,139.62 × 293,318.08
  4. Step 4: Simplify right side
    508,108.82x = 205,656,927,150.33
  5. Step 5: Solve for x
    x = 205,656,927,150.33/508,108.82
  6. Step 6: Final answer
    x = 404,749.77

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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.