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Finding the Fourth Proportional to 367,301.78, 551,071.74 and 180,182.06

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Solution

The fourth proportional to 367,301.78, 551,071.74 and 180,182.06 is: 270,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,301.78 : 551,071.74 = 180,182.06 : x
  2. Step 2: Convert to fraction form
    367,301.78/551,071.74 = 180,182.06/x
  3. Step 3: Cross multiply
    367,301.78x = 551,071.74 × 180,182.06
  4. Step 4: Simplify right side
    367,301.78x = 99,293,241,320.98
  5. Step 5: Solve for x
    x = 99,293,241,320.98/367,301.78
  6. Step 6: Final answer
    x = 270,331.50

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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.