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Finding the Fourth Proportional to 286,756.38, 395,713.47 and 157,693.77

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Solution

The fourth proportional to 286,756.38, 395,713.47 and 157,693.77 is: 217,611.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,756.38 : 395,713.47 = 157,693.77 : x
  2. Step 2: Convert to fraction form
    286,756.38/395,713.47 = 157,693.77/x
  3. Step 3: Cross multiply
    286,756.38x = 395,713.47 × 157,693.77
  4. Step 4: Simplify right side
    286,756.38x = 62,401,548,924.08
  5. Step 5: Solve for x
    x = 62,401,548,924.08/286,756.38
  6. Step 6: Final answer
    x = 217,611.72

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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.