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Finding the Fourth Proportional to 270,904.32, 406,356.66 and 159,362.04

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Solution

The fourth proportional to 270,904.32, 406,356.66 and 159,362.04 is: 239,043.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,904.32 : 406,356.66 = 159,362.04 : x
  2. Step 2: Convert to fraction form
    270,904.32/406,356.66 = 159,362.04/x
  3. Step 3: Cross multiply
    270,904.32x = 406,356.66 × 159,362.04
  4. Step 4: Simplify right side
    270,904.32x = 64,757,826,305.19
  5. Step 5: Solve for x
    x = 64,757,826,305.19/270,904.32
  6. Step 6: Final answer
    x = 239,043.17

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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.