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Finding the Fourth Proportional to 458,952.54, 688,191.23 and 206,015.23

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Solution

The fourth proportional to 458,952.54, 688,191.23 and 206,015.23 is: 308,916.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,952.54 : 688,191.23 = 206,015.23 : x
  2. Step 2: Convert to fraction form
    458,952.54/688,191.23 = 206,015.23/x
  3. Step 3: Cross multiply
    458,952.54x = 688,191.23 × 206,015.23
  4. Step 4: Simplify right side
    458,952.54x = 141,777,874,963.05
  5. Step 5: Solve for x
    x = 141,777,874,963.05/458,952.54
  6. Step 6: Final answer
    x = 308,916.20

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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.