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Finding the Fourth Proportional to 299,099.59, 412,746 and 164,963.59

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Solution

The fourth proportional to 299,099.59, 412,746 and 164,963.59 is: 227,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,099.59 : 412,746 = 164,963.59 : x
  2. Step 2: Convert to fraction form
    299,099.59/412,746 = 164,963.59/x
  3. Step 3: Cross multiply
    299,099.59x = 412,746 × 164,963.59
  4. Step 4: Simplify right side
    299,099.59x = 68,088,061,918.14
  5. Step 5: Solve for x
    x = 68,088,061,918.14/299,099.59
  6. Step 6: Final answer
    x = 227,643.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.