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Finding the Fourth Proportional to 1,340,358.81, 1,849,713.86 and 728,511.38

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Solution

The fourth proportional to 1,340,358.81, 1,849,713.86 and 728,511.38 is: 1,005,355.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,358.81 : 1,849,713.86 = 728,511.38 : x
  2. Step 2: Convert to fraction form
    1,340,358.81/1,849,713.86 = 728,511.38/x
  3. Step 3: Cross multiply
    1,340,358.81x = 1,849,713.86 × 728,511.38
  4. Step 4: Simplify right side
    1,340,358.81x = 1,347,537,596,262.86
  5. Step 5: Solve for x
    x = 1,347,537,596,262.86/1,340,358.81
  6. Step 6: Final answer
    x = 1,005,355.87

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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.