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Finding the Fourth Proportional to 297,491.51, 410,538.03 and 163,355.51

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Solution

The fourth proportional to 297,491.51, 410,538.03 and 163,355.51 is: 225,430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,491.51 : 410,538.03 = 163,355.51 : x
  2. Step 2: Convert to fraction form
    297,491.51/410,538.03 = 163,355.51/x
  3. Step 3: Cross multiply
    297,491.51x = 410,538.03 × 163,355.51
  4. Step 4: Simplify right side
    297,491.51x = 67,063,649,265.05
  5. Step 5: Solve for x
    x = 67,063,649,265.05/297,491.51
  6. Step 6: Final answer
    x = 225,430.46

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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.