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Finding the Fourth Proportional to 500,371.83, 750,564.09 and 163,409.81

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Solution

The fourth proportional to 500,371.83, 750,564.09 and 163,409.81 is: 245,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,371.83 : 750,564.09 = 163,409.81 : x
  2. Step 2: Convert to fraction form
    500,371.83/750,564.09 = 163,409.81/x
  3. Step 3: Cross multiply
    500,371.83x = 750,564.09 × 163,409.81
  4. Step 4: Simplify right side
    500,371.83x = 122,649,531,586.90
  5. Step 5: Solve for x
    x = 122,649,531,586.90/500,371.83
  6. Step 6: Final answer
    x = 245,116.78

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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.