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Finding the Fourth Proportional to 299,258.78, 412,977.14 and 191,829.02

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Solution

The fourth proportional to 299,258.78, 412,977.14 and 191,829.02 is: 264,724.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,258.78 : 412,977.14 = 191,829.02 : x
  2. Step 2: Convert to fraction form
    299,258.78/412,977.14 = 191,829.02/x
  3. Step 3: Cross multiply
    299,258.78x = 412,977.14 × 191,829.02
  4. Step 4: Simplify right side
    299,258.78x = 79,220,997,024.57
  5. Step 5: Solve for x
    x = 79,220,997,024.57/299,258.78
  6. Step 6: Final answer
    x = 264,724.06

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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.