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Finding the Fourth Proportional to 309,022.17, 463,666.44 and 166,839.21

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Solution

The fourth proportional to 309,022.17, 463,666.44 and 166,839.21 is: 250,330.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,022.17 : 463,666.44 = 166,839.21 : x
  2. Step 2: Convert to fraction form
    309,022.17/463,666.44 = 166,839.21/x
  3. Step 3: Cross multiply
    309,022.17x = 463,666.44 × 166,839.21
  4. Step 4: Simplify right side
    309,022.17x = 77,357,743,178.76
  5. Step 5: Solve for x
    x = 77,357,743,178.76/309,022.17
  6. Step 6: Final answer
    x = 250,330.72

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1.5x scale

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.