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Finding the Fourth Proportional to 401,508.50, 602,496.04 and 179,892.50

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Solution

The fourth proportional to 401,508.50, 602,496.04 and 179,892.50 is: 269,943.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,508.50 : 602,496.04 = 179,892.50 : x
  2. Step 2: Convert to fraction form
    401,508.50/602,496.04 = 179,892.50/x
  3. Step 3: Cross multiply
    401,508.50x = 602,496.04 × 179,892.50
  4. Step 4: Simplify right side
    401,508.50x = 108,384,518,875.70
  5. Step 5: Solve for x
    x = 108,384,518,875.70/401,508.50
  6. Step 6: Final answer
    x = 269,943.27

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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.