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Finding the Fourth Proportional to 402,843.94, 604,266.05 and 103,324.52

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Solution

The fourth proportional to 402,843.94, 604,266.05 and 103,324.52 is: 154,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,843.94 : 604,266.05 = 103,324.52 : x
  2. Step 2: Convert to fraction form
    402,843.94/604,266.05 = 103,324.52/x
  3. Step 3: Cross multiply
    402,843.94x = 604,266.05 × 103,324.52
  4. Step 4: Simplify right side
    402,843.94x = 62,435,501,337.52
  5. Step 5: Solve for x
    x = 62,435,501,337.52/402,843.94
  6. Step 6: Final answer
    x = 154,986.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.