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Finding the Fourth Proportional to 508,102.50, 701,130.92 and 293,311.76

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Solution

The fourth proportional to 508,102.50, 701,130.92 and 293,311.76 is: 404,741.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,102.50 : 701,130.92 = 293,311.76 : x
  2. Step 2: Convert to fraction form
    508,102.50/701,130.92 = 293,311.76/x
  3. Step 3: Cross multiply
    508,102.50x = 701,130.92 × 293,311.76
  4. Step 4: Simplify right side
    508,102.50x = 205,649,942,669.06
  5. Step 5: Solve for x
    x = 205,649,942,669.06/508,102.50
  6. Step 6: Final answer
    x = 404,741.06

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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.