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Finding the Fourth Proportional to 1,355,262.94, 1,869,949.24 and 811,192.02

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Solution

The fourth proportional to 1,355,262.94, 1,869,949.24 and 811,192.02 is: 1,119,257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355,262.94 : 1,869,949.24 = 811,192.02 : x
  2. Step 2: Convert to fraction form
    1,355,262.94/1,869,949.24 = 811,192.02/x
  3. Step 3: Cross multiply
    1,355,262.94x = 1,869,949.24 × 811,192.02
  4. Step 4: Simplify right side
    1,355,262.94x = 1,516,887,896,815.73
  5. Step 5: Solve for x
    x = 1,516,887,896,815.73/1,355,262.94
  6. Step 6: Final answer
    x = 1,119,257.27

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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.