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Finding the Fourth Proportional to 613,714.75, 920,604.93 and 193,023.43

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Solution

The fourth proportional to 613,714.75, 920,604.93 and 193,023.43 is: 289,545.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,714.75 : 920,604.93 = 193,023.43 : x
  2. Step 2: Convert to fraction form
    613,714.75/920,604.93 = 193,023.43/x
  3. Step 3: Cross multiply
    613,714.75x = 920,604.93 × 193,023.43
  4. Step 4: Simplify right side
    613,714.75x = 177,698,321,263.51
  5. Step 5: Solve for x
    x = 177,698,321,263.51/613,714.75
  6. Step 6: Final answer
    x = 289,545.46

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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.