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Finding the Fourth Proportional to 633,258.16, 950,097.43 and 206,807.90

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Solution

The fourth proportional to 633,258.16, 950,097.43 and 206,807.90 is: 310,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,258.16 : 950,097.43 = 206,807.90 : x
  2. Step 2: Convert to fraction form
    633,258.16/950,097.43 = 206,807.90/x
  3. Step 3: Cross multiply
    633,258.16x = 950,097.43 × 206,807.90
  4. Step 4: Simplify right side
    633,258.16x = 196,487,654,293.70
  5. Step 5: Solve for x
    x = 196,487,654,293.70/633,258.16
  6. Step 6: Final answer
    x = 310,280.49

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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.