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Finding the Fourth Proportional to 508,101.73, 701,129.87 and 293,311.00

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Solution

The fourth proportional to 508,101.73, 701,129.87 and 293,311.00 is: 404,740.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,101.73 : 701,129.87 = 293,311.00 : x
  2. Step 2: Convert to fraction form
    508,101.73/701,129.87 = 293,311.00/x
  3. Step 3: Cross multiply
    508,101.73x = 701,129.87 × 293,311.00
  4. Step 4: Simplify right side
    508,101.73x = 205,649,098,327.37
  5. Step 5: Solve for x
    x = 205,649,098,327.37/508,101.73
  6. Step 6: Final answer
    x = 404,740.01

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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.