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Finding the Fourth Proportional to 401,449.50, 602,407.53 and 179,833.50

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Solution

The fourth proportional to 401,449.50, 602,407.53 and 179,833.50 is: 269,854.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,449.50 : 602,407.53 = 179,833.50 : x
  2. Step 2: Convert to fraction form
    401,449.50/602,407.53 = 179,833.50/x
  3. Step 3: Cross multiply
    401,449.50x = 602,407.53 × 179,833.50
  4. Step 4: Simplify right side
    401,449.50x = 108,333,054,546.26
  5. Step 5: Solve for x
    x = 108,333,054,546.26/401,449.50
  6. Step 6: Final answer
    x = 269,854.75

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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.