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Finding the Fourth Proportional to 1,267,610.81, 1,749,288.02 and 686,822.58

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Solution

The fourth proportional to 1,267,610.81, 1,749,288.02 and 686,822.58 is: 947,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,610.81 : 1,749,288.02 = 686,822.58 : x
  2. Step 2: Convert to fraction form
    1,267,610.81/1,749,288.02 = 686,822.58/x
  3. Step 3: Cross multiply
    1,267,610.81x = 1,749,288.02 × 686,822.58
  4. Step 4: Simplify right side
    1,267,610.81x = 1,201,450,507,625.38
  5. Step 5: Solve for x
    x = 1,201,450,507,625.38/1,267,610.81
  6. Step 6: Final answer
    x = 947,807.09

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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.