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Finding the Fourth Proportional to 565,833.43, 848,855.09 and 186,780.57

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Solution

The fourth proportional to 565,833.43, 848,855.09 and 186,780.57 is: 280,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,833.43 : 848,855.09 = 186,780.57 : x
  2. Step 2: Convert to fraction form
    565,833.43/848,855.09 = 186,780.57/x
  3. Step 3: Cross multiply
    565,833.43x = 848,855.09 × 186,780.57
  4. Step 4: Simplify right side
    565,833.43x = 158,549,634,841.35
  5. Step 5: Solve for x
    x = 158,549,634,841.35/565,833.43
  6. Step 6: Final answer
    x = 280,205.49

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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.