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Finding the Fourth Proportional to 233,267.88, 322,064.64 and 179,457.96

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Solution

The fourth proportional to 233,267.88, 322,064.64 and 179,457.96 is: 247,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,267.88 : 322,064.64 = 179,457.96 : x
  2. Step 2: Convert to fraction form
    233,267.88/322,064.64 = 179,457.96/x
  3. Step 3: Cross multiply
    233,267.88x = 322,064.64 × 179,457.96
  4. Step 4: Simplify right side
    233,267.88x = 57,797,063,282.53
  5. Step 5: Solve for x
    x = 57,797,063,282.53/233,267.88
  6. Step 6: Final answer
    x = 247,771.20

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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.