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Finding the Fourth Proportional to 393,953.68, 591,115.06 and 194,165.16

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Solution

The fourth proportional to 393,953.68, 591,115.06 and 194,165.16 is: 291,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,953.68 : 591,115.06 = 194,165.16 : x
  2. Step 2: Convert to fraction form
    393,953.68/591,115.06 = 194,165.16/x
  3. Step 3: Cross multiply
    393,953.68x = 591,115.06 × 194,165.16
  4. Step 4: Simplify right side
    393,953.68x = 114,773,950,203.31
  5. Step 5: Solve for x
    x = 114,773,950,203.31/393,953.68
  6. Step 6: Final answer
    x = 291,338.69

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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.