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Finding the Fourth Proportional to 565,713.73, 848,010.07 and 265,657.20

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Solution

The fourth proportional to 565,713.73, 848,010.07 and 265,657.20 is: 398,222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,713.73 : 848,010.07 = 265,657.20 : x
  2. Step 2: Convert to fraction form
    565,713.73/848,010.07 = 265,657.20/x
  3. Step 3: Cross multiply
    565,713.73x = 848,010.07 × 265,657.20
  4. Step 4: Simplify right side
    565,713.73x = 225,279,980,768.00
  5. Step 5: Solve for x
    x = 225,279,980,768.00/565,713.73
  6. Step 6: Final answer
    x = 398,222.58

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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.