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Finding the Fourth Proportional to 1,285,844.24, 1,773,619.80 and 826,235.12

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Solution

The fourth proportional to 1,285,844.24, 1,773,619.80 and 826,235.12 is: 1,139,661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,844.24 : 1,773,619.80 = 826,235.12 : x
  2. Step 2: Convert to fraction form
    1,285,844.24/1,773,619.80 = 826,235.12/x
  3. Step 3: Cross multiply
    1,285,844.24x = 1,773,619.80 × 826,235.12
  4. Step 4: Simplify right side
    1,285,844.24x = 1,465,426,968,287.38
  5. Step 5: Solve for x
    x = 1,465,426,968,287.38/1,285,844.24
  6. Step 6: Final answer
    x = 1,139,661.34

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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.