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Finding the Fourth Proportional to 413,372.70, 619,767.45 and 188,840.70

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Solution

The fourth proportional to 413,372.70, 619,767.45 and 188,840.70 is: 283,127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,372.70 : 619,767.45 = 188,840.70 : x
  2. Step 2: Convert to fraction form
    413,372.70/619,767.45 = 188,840.70/x
  3. Step 3: Cross multiply
    413,372.70x = 619,767.45 × 188,840.70
  4. Step 4: Simplify right side
    413,372.70x = 117,037,319,095.22
  5. Step 5: Solve for x
    x = 117,037,319,095.22/413,372.70
  6. Step 6: Final answer
    x = 283,127.84

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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.