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Finding the Fourth Proportional to 778,462.77, 1,073,324.17 and 640,158.38

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Solution

The fourth proportional to 778,462.77, 1,073,324.17 and 640,158.38 is: 882,633.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,462.77 : 1,073,324.17 = 640,158.38 : x
  2. Step 2: Convert to fraction form
    778,462.77/1,073,324.17 = 640,158.38/x
  3. Step 3: Cross multiply
    778,462.77x = 1,073,324.17 × 640,158.38
  4. Step 4: Simplify right side
    778,462.77x = 687,097,461,340.59
  5. Step 5: Solve for x
    x = 687,097,461,340.59/778,462.77
  6. Step 6: Final answer
    x = 882,633.68

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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.