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Finding the Fourth Proportional to 371,999.10, 513,363.07 and 206,430.46

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Solution

The fourth proportional to 371,999.10, 513,363.07 and 206,430.46 is: 284,876.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,999.10 : 513,363.07 = 206,430.46 : x
  2. Step 2: Convert to fraction form
    371,999.10/513,363.07 = 206,430.46/x
  3. Step 3: Cross multiply
    371,999.10x = 513,363.07 × 206,430.46
  4. Step 4: Simplify right side
    371,999.10x = 105,973,774,687.11
  5. Step 5: Solve for x
    x = 105,973,774,687.11/371,999.10
  6. Step 6: Final answer
    x = 284,876.43

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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.