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Finding the Fourth Proportional to 610,480.92, 842,463.72 and 338,590.38

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Solution

The fourth proportional to 610,480.92, 842,463.72 and 338,590.38 is: 467,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,480.92 : 842,463.72 = 338,590.38 : x
  2. Step 2: Convert to fraction form
    610,480.92/842,463.72 = 338,590.38/x
  3. Step 3: Cross multiply
    610,480.92x = 842,463.72 × 338,590.38
  4. Step 4: Simplify right side
    610,480.92x = 285,250,111,091.01
  5. Step 5: Solve for x
    x = 285,250,111,091.01/610,480.92
  6. Step 6: Final answer
    x = 467,254.75

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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.