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Finding the Fourth Proportional to 341,413.20, 512,119.80 and 164,266.20

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Solution

The fourth proportional to 341,413.20, 512,119.80 and 164,266.20 is: 246,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,413.20 : 512,119.80 = 164,266.20 : x
  2. Step 2: Convert to fraction form
    341,413.20/512,119.80 = 164,266.20/x
  3. Step 3: Cross multiply
    341,413.20x = 512,119.80 × 164,266.20
  4. Step 4: Simplify right side
    341,413.20x = 84,123,973,490.76
  5. Step 5: Solve for x
    x = 84,123,973,490.76/341,413.20
  6. Step 6: Final answer
    x = 246,399.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.