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Finding the Fourth Proportional to 1,340,444.82, 1,849,826.24 and 728,599.02

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Solution

The fourth proportional to 1,340,444.82, 1,849,826.24 and 728,599.02 is: 1,005,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,444.82 : 1,849,826.24 = 728,599.02 : x
  2. Step 2: Convert to fraction form
    1,340,444.82/1,849,826.24 = 728,599.02/x
  3. Step 3: Cross multiply
    1,340,444.82x = 1,849,826.24 × 728,599.02
  4. Step 4: Simplify right side
    1,340,444.82x = 1,347,781,585,634.28
  5. Step 5: Solve for x
    x = 1,347,781,585,634.28/1,340,444.82
  6. Step 6: Final answer
    x = 1,005,473.38

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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.