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Finding the Fourth Proportional to 347,137.81, 520,519.46 and 157,494.69

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Solution

The fourth proportional to 347,137.81, 520,519.46 and 157,494.69 is: 236,157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,137.81 : 520,519.46 = 157,494.69 : x
  2. Step 2: Convert to fraction form
    347,137.81/520,519.46 = 157,494.69/x
  3. Step 3: Cross multiply
    347,137.81x = 520,519.46 × 157,494.69
  4. Step 4: Simplify right side
    347,137.81x = 81,979,050,204.19
  5. Step 5: Solve for x
    x = 81,979,050,204.19/347,137.81
  6. Step 6: Final answer
    x = 236,157.08

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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.