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Finding the Fourth Proportional to 316,822.64, 475,340.06 and 103,600.38

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Solution

The fourth proportional to 316,822.64, 475,340.06 and 103,600.38 is: 155,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,822.64 : 475,340.06 = 103,600.38 : x
  2. Step 2: Convert to fraction form
    316,822.64/475,340.06 = 103,600.38/x
  3. Step 3: Cross multiply
    316,822.64x = 475,340.06 × 103,600.38
  4. Step 4: Simplify right side
    316,822.64x = 49,245,410,327.22
  5. Step 5: Solve for x
    x = 49,245,410,327.22/316,822.64
  6. Step 6: Final answer
    x = 155,435.27

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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.