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Finding the Fourth Proportional to 401,459.50, 602,422.54 and 179,843.50

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Solution

The fourth proportional to 401,459.50, 602,422.54 and 179,843.50 is: 269,869.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,459.50 : 602,422.54 = 179,843.50 : x
  2. Step 2: Convert to fraction form
    401,459.50/602,422.54 = 179,843.50/x
  3. Step 3: Cross multiply
    401,459.50x = 602,422.54 × 179,843.50
  4. Step 4: Simplify right side
    401,459.50x = 108,341,778,072.49
  5. Step 5: Solve for x
    x = 108,341,778,072.49/401,459.50
  6. Step 6: Final answer
    x = 269,869.76

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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.