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Finding the Fourth Proportional to 401,483.50, 602,458.56 and 179,867.50

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Solution

The fourth proportional to 401,483.50, 602,458.56 and 179,867.50 is: 269,905.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,483.50 : 602,458.56 = 179,867.50 : x
  2. Step 2: Convert to fraction form
    401,483.50/602,458.56 = 179,867.50/x
  3. Step 3: Cross multiply
    401,483.50x = 602,458.56 × 179,867.50
  4. Step 4: Simplify right side
    401,483.50x = 108,362,715,040.80
  5. Step 5: Solve for x
    x = 108,362,715,040.80/401,483.50
  6. Step 6: Final answer
    x = 269,905.77

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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.