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Finding the Fourth Proportional to 299,064.96, 412,680.96 and 164,920.32

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Solution

The fourth proportional to 299,064.96, 412,680.96 and 164,920.32 is: 227,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,064.96 : 412,680.96 = 164,920.32 : x
  2. Step 2: Convert to fraction form
    299,064.96/412,680.96 = 164,920.32/x
  3. Step 3: Cross multiply
    299,064.96x = 412,680.96 × 164,920.32
  4. Step 4: Simplify right side
    299,064.96x = 68,059,475,981.11
  5. Step 5: Solve for x
    x = 68,059,475,981.11/299,064.96
  6. Step 6: Final answer
    x = 227,574.22

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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.