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Finding the Fourth Proportional to 613,515.76, 920,366.52 and 192,752.08

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Solution

The fourth proportional to 613,515.76, 920,366.52 and 192,752.08 is: 289,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,515.76 : 920,366.52 = 192,752.08 : x
  2. Step 2: Convert to fraction form
    613,515.76/920,366.52 = 192,752.08/x
  3. Step 3: Cross multiply
    613,515.76x = 920,366.52 × 192,752.08
  4. Step 4: Simplify right side
    613,515.76x = 177,402,561,092.36
  5. Step 5: Solve for x
    x = 177,402,561,092.36/613,515.76
  6. Step 6: Final answer
    x = 289,157.30

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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.