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Finding the Fourth Proportional to 565,713.67, 848,009.98 and 265,657.13

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Solution

The fourth proportional to 565,713.67, 848,009.98 and 265,657.13 is: 398,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,713.67 : 848,009.98 = 265,657.13 : x
  2. Step 2: Convert to fraction form
    565,713.67/848,009.98 = 265,657.13/x
  3. Step 3: Cross multiply
    565,713.67x = 848,009.98 × 265,657.13
  4. Step 4: Simplify right side
    565,713.67x = 225,279,897,498.16
  5. Step 5: Solve for x
    x = 225,279,897,498.16/565,713.67
  6. Step 6: Final answer
    x = 398,222.47

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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.