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Finding the Fourth Proportional to 295,441.38, 407,661.03 and 174,565.86

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Solution

The fourth proportional to 295,441.38, 407,661.03 and 174,565.86 is: 240,872.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,441.38 : 407,661.03 = 174,565.86 : x
  2. Step 2: Convert to fraction form
    295,441.38/407,661.03 = 174,565.86/x
  3. Step 3: Cross multiply
    295,441.38x = 407,661.03 × 174,565.86
  4. Step 4: Simplify right side
    295,441.38x = 71,163,698,290.44
  5. Step 5: Solve for x
    x = 71,163,698,290.44/295,441.38
  6. Step 6: Final answer
    x = 240,872.48

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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.