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Finding the Fourth Proportional to 295,154.02, 407,310.64 and 167,829.61

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Solution

The fourth proportional to 295,154.02, 407,310.64 and 167,829.61 is: 231,603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,154.02 : 407,310.64 = 167,829.61 : x
  2. Step 2: Convert to fraction form
    295,154.02/407,310.64 = 167,829.61/x
  3. Step 3: Cross multiply
    295,154.02x = 407,310.64 × 167,829.61
  4. Step 4: Simplify right side
    295,154.02x = 68,358,785,860.05
  5. Step 5: Solve for x
    x = 68,358,785,860.05/295,154.02
  6. Step 6: Final answer
    x = 231,603.78

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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.