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Finding the Fourth Proportional to 610,565.92, 842,632.69 and 338,721.34

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Solution

The fourth proportional to 610,565.92, 842,632.69 and 338,721.34 is: 467,464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,565.92 : 842,632.69 = 338,721.34 : x
  2. Step 2: Convert to fraction form
    610,565.92/842,632.69 = 338,721.34/x
  3. Step 3: Cross multiply
    610,565.92x = 842,632.69 × 338,721.34
  4. Step 4: Simplify right side
    610,565.92x = 285,417,673,884.61
  5. Step 5: Solve for x
    x = 285,417,673,884.61/610,565.92
  6. Step 6: Final answer
    x = 467,464.14

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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.