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Finding the Fourth Proportional to 610,789.62, 842,894.76 and 338,875.38

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Solution

The fourth proportional to 610,789.62, 842,894.76 and 338,875.38 is: 467,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,789.62 : 842,894.76 = 338,875.38 : x
  2. Step 2: Convert to fraction form
    610,789.62/842,894.76 = 338,875.38/x
  3. Step 3: Cross multiply
    610,789.62x = 842,894.76 × 338,875.38
  4. Step 4: Simplify right side
    610,789.62x = 285,636,282,095.01
  5. Step 5: Solve for x
    x = 285,636,282,095.01/610,789.62
  6. Step 6: Final answer
    x = 467,650.85

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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.