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Finding the Fourth Proportional to 508,102.44, 701,130.83 and 293,311.70

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Solution

The fourth proportional to 508,102.44, 701,130.83 and 293,311.70 is: 404,740.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,102.44 : 701,130.83 = 293,311.70 : x
  2. Step 2: Convert to fraction form
    508,102.44/701,130.83 = 293,311.70/x
  3. Step 3: Cross multiply
    508,102.44x = 701,130.83 × 293,311.70
  4. Step 4: Simplify right side
    508,102.44x = 205,649,875,669.71
  5. Step 5: Solve for x
    x = 205,649,875,669.71/508,102.44
  6. Step 6: Final answer
    x = 404,740.97

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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.