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Finding the Fourth Proportional to 561,878.86, 842,424.56 and 206,846.68

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Solution

The fourth proportional to 561,878.86, 842,424.56 and 206,846.68 is: 310,125.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,878.86 : 842,424.56 = 206,846.68 : x
  2. Step 2: Convert to fraction form
    561,878.86/842,424.56 = 206,846.68/x
  3. Step 3: Cross multiply
    561,878.86x = 842,424.56 × 206,846.68
  4. Step 4: Simplify right side
    561,878.86x = 174,252,723,386.46
  5. Step 5: Solve for x
    x = 174,252,723,386.46/561,878.86
  6. Step 6: Final answer
    x = 310,125.07

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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.