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Finding the Fourth Proportional to 503,815.93, 695,329.54 and 288,951.38

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Solution

The fourth proportional to 503,815.93, 695,329.54 and 288,951.38 is: 398,789.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,815.93 : 695,329.54 = 288,951.38 : x
  2. Step 2: Convert to fraction form
    503,815.93/695,329.54 = 288,951.38/x
  3. Step 3: Cross multiply
    503,815.93x = 695,329.54 × 288,951.38
  4. Step 4: Simplify right side
    503,815.93x = 200,916,430,137.77
  5. Step 5: Solve for x
    x = 200,916,430,137.77/503,815.93
  6. Step 6: Final answer
    x = 398,789.36

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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.