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Finding the Fourth Proportional to 580,054.50, 870,046.79 and 344,893.68

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Solution

The fourth proportional to 580,054.50, 870,046.79 and 344,893.68 is: 517,319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,054.50 : 870,046.79 = 344,893.68 : x
  2. Step 2: Convert to fraction form
    580,054.50/870,046.79 = 344,893.68/x
  3. Step 3: Cross multiply
    580,054.50x = 870,046.79 × 344,893.68
  4. Step 4: Simplify right side
    580,054.50x = 300,073,637,450.82
  5. Step 5: Solve for x
    x = 300,073,637,450.82/580,054.50
  6. Step 6: Final answer
    x = 517,319.73

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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.