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Finding the Fourth Proportional to 1,340,251.08, 1,849,560.78 and 728,403.84

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Solution

The fourth proportional to 1,340,251.08, 1,849,560.78 and 728,403.84 is: 1,005,205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,251.08 : 1,849,560.78 = 728,403.84 : x
  2. Step 2: Convert to fraction form
    1,340,251.08/1,849,560.78 = 728,403.84/x
  3. Step 3: Cross multiply
    1,340,251.08x = 1,849,560.78 × 728,403.84
  4. Step 4: Simplify right side
    1,340,251.08x = 1,347,227,174,465.40
  5. Step 5: Solve for x
    x = 1,347,227,174,465.40/1,340,251.08
  6. Step 6: Final answer
    x = 1,005,205.07

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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.