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Finding the Fourth Proportional to 299,192, 412,875.48 and 170,144.50

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Solution

The fourth proportional to 299,192, 412,875.48 and 170,144.50 is: 234,794.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,192 : 412,875.48 = 170,144.50 : x
  2. Step 2: Convert to fraction form
    299,192/412,875.48 = 170,144.50/x
  3. Step 3: Cross multiply
    299,192x = 412,875.48 × 170,144.50
  4. Step 4: Simplify right side
    299,192x = 70,248,492,106.86
  5. Step 5: Solve for x
    x = 70,248,492,106.86/299,192
  6. Step 6: Final answer
    x = 234,794.02

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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.