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Finding the Fourth Proportional to 613,689.24, 920,678.70 and 192,965.12

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Solution

The fourth proportional to 613,689.24, 920,678.70 and 192,965.12 is: 289,493.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,689.24 : 920,678.70 = 192,965.12 : x
  2. Step 2: Convert to fraction form
    613,689.24/920,678.70 = 192,965.12/x
  3. Step 3: Cross multiply
    613,689.24x = 920,678.70 × 192,965.12
  4. Step 4: Simplify right side
    613,689.24x = 177,658,875,399.72
  5. Step 5: Solve for x
    x = 177,658,875,399.72/613,689.24
  6. Step 6: Final answer
    x = 289,493.22

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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.