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Finding the Fourth Proportional to 540,853.20, 811,356.60 and 166,837.20

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Solution

The fourth proportional to 540,853.20, 811,356.60 and 166,837.20 is: 250,279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,853.20 : 811,356.60 = 166,837.20 : x
  2. Step 2: Convert to fraction form
    540,853.20/811,356.60 = 166,837.20/x
  3. Step 3: Cross multiply
    540,853.20x = 811,356.60 × 166,837.20
  4. Step 4: Simplify right side
    540,853.20x = 135,364,463,345.52
  5. Step 5: Solve for x
    x = 135,364,463,345.52/540,853.20
  6. Step 6: Final answer
    x = 250,279.49

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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.