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Finding the Fourth Proportional to 562,101, 843,162.45 and 206,932.20

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Solution

The fourth proportional to 562,101, 843,162.45 and 206,932.20 is: 310,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,101 : 843,162.45 = 206,932.20 : x
  2. Step 2: Convert to fraction form
    562,101/843,162.45 = 206,932.20/x
  3. Step 3: Cross multiply
    562,101x = 843,162.45 × 206,932.20
  4. Step 4: Simplify right side
    562,101x = 174,477,460,735.89
  5. Step 5: Solve for x
    x = 174,477,460,735.89/562,101
  6. Step 6: Final answer
    x = 310,402.33

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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.