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Finding the Fourth Proportional to 508,557.29, 762,811.26 and 188,771.48

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Solution

The fourth proportional to 508,557.29, 762,811.26 and 188,771.48 is: 283,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,557.29 : 762,811.26 = 188,771.48 : x
  2. Step 2: Convert to fraction form
    508,557.29/762,811.26 = 188,771.48/x
  3. Step 3: Cross multiply
    508,557.29x = 762,811.26 × 188,771.48
  4. Step 4: Simplify right side
    508,557.29x = 143,997,006,696.81
  5. Step 5: Solve for x
    x = 143,997,006,696.81/508,557.29
  6. Step 6: Final answer
    x = 283,148.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.