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Finding the Fourth Proportional to 1,335,462.24, 1,842,928.56 and 731,837.28

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Solution

The fourth proportional to 1,335,462.24, 1,842,928.56 and 731,837.28 is: 1,009,930.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335,462.24 : 1,842,928.56 = 731,837.28 : x
  2. Step 2: Convert to fraction form
    1,335,462.24/1,842,928.56 = 731,837.28/x
  3. Step 3: Cross multiply
    1,335,462.24x = 1,842,928.56 × 731,837.28
  4. Step 4: Simplify right side
    1,335,462.24x = 1,348,723,824,584.72
  5. Step 5: Solve for x
    x = 1,348,723,824,584.72/1,335,462.24
  6. Step 6: Final answer
    x = 1,009,930.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.