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Finding the Fourth Proportional to 299,070.96, 412,706.52 and 164,934.96

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Solution

The fourth proportional to 299,070.96, 412,706.52 and 164,934.96 is: 227,603.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,070.96 : 412,706.52 = 164,934.96 : x
  2. Step 2: Convert to fraction form
    299,070.96/412,706.52 = 164,934.96/x
  3. Step 3: Cross multiply
    299,070.96x = 412,706.52 × 164,934.96
  4. Step 4: Simplify right side
    299,070.96x = 68,069,733,367.94
  5. Step 5: Solve for x
    x = 68,069,733,367.94/299,070.96
  6. Step 6: Final answer
    x = 227,603.96

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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.