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Finding the Fourth Proportional to 471,187.93, 706,778.66 and 190,701.13

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Solution

The fourth proportional to 471,187.93, 706,778.66 and 190,701.13 is: 286,050.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,187.93 : 706,778.66 = 190,701.13 : x
  2. Step 2: Convert to fraction form
    471,187.93/706,778.66 = 190,701.13/x
  3. Step 3: Cross multiply
    471,187.93x = 706,778.66 × 190,701.13
  4. Step 4: Simplify right side
    471,187.93x = 134,783,488,168.38
  5. Step 5: Solve for x
    x = 134,783,488,168.38/471,187.93
  6. Step 6: Final answer
    x = 286,050.38

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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.