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Finding the Fourth Proportional to 768,706.58, 1,152,941.61 and 256,380.77

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Solution

The fourth proportional to 768,706.58, 1,152,941.61 and 256,380.77 is: 384,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,706.58 : 1,152,941.61 = 256,380.77 : x
  2. Step 2: Convert to fraction form
    768,706.58/1,152,941.61 = 256,380.77/x
  3. Step 3: Cross multiply
    768,706.58x = 1,152,941.61 × 256,380.77
  4. Step 4: Simplify right side
    768,706.58x = 295,592,057,736.84
  5. Step 5: Solve for x
    x = 295,592,057,736.84/768,706.58
  6. Step 6: Final answer
    x = 384,531.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.