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Finding the Fourth Proportional to 340,657.62, 510,767.73 and 151,175.94

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Solution

The fourth proportional to 340,657.62, 510,767.73 and 151,175.94 is: 226,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,657.62 : 510,767.73 = 151,175.94 : x
  2. Step 2: Convert to fraction form
    340,657.62/510,767.73 = 151,175.94/x
  3. Step 3: Cross multiply
    340,657.62x = 510,767.73 × 151,175.94
  4. Step 4: Simplify right side
    340,657.62x = 77,215,791,704.42
  5. Step 5: Solve for x
    x = 77,215,791,704.42/340,657.62
  6. Step 6: Final answer
    x = 226,666.86

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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.