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Finding the Fourth Proportional to 580,194.42, 870,333.54 and 242,895.84

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Solution

The fourth proportional to 580,194.42, 870,333.54 and 242,895.84 is: 364,361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,194.42 : 870,333.54 = 242,895.84 : x
  2. Step 2: Convert to fraction form
    580,194.42/870,333.54 = 242,895.84/x
  3. Step 3: Cross multiply
    580,194.42x = 870,333.54 × 242,895.84
  4. Step 4: Simplify right side
    580,194.42x = 211,400,396,278.47
  5. Step 5: Solve for x
    x = 211,400,396,278.47/580,194.42
  6. Step 6: Final answer
    x = 364,361.31

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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.