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Finding the Fourth Proportional to 308,727.70, 463,480.35 and 166,686.10

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Solution

The fourth proportional to 308,727.70, 463,480.35 and 166,686.10 is: 250,239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,727.70 : 463,480.35 = 166,686.10 : x
  2. Step 2: Convert to fraction form
    308,727.70/463,480.35 = 166,686.10/x
  3. Step 3: Cross multiply
    308,727.70x = 463,480.35 × 166,686.10
  4. Step 4: Simplify right side
    308,727.70x = 77,255,731,968.14
  5. Step 5: Solve for x
    x = 77,255,731,968.14/308,727.70
  6. Step 6: Final answer
    x = 250,239.07

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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.