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Finding the Fourth Proportional to 270,844.16, 406,304.08 and 113,036.48

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Solution

The fourth proportional to 270,844.16, 406,304.08 and 113,036.48 is: 169,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,844.16 : 406,304.08 = 113,036.48 : x
  2. Step 2: Convert to fraction form
    270,844.16/406,304.08 = 113,036.48/x
  3. Step 3: Cross multiply
    270,844.16x = 406,304.08 × 113,036.48
  4. Step 4: Simplify right side
    270,844.16x = 45,927,183,012.84
  5. Step 5: Solve for x
    x = 45,927,183,012.84/270,844.16
  6. Step 6: Final answer
    x = 169,570.51

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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.