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Finding the Fourth Proportional to 565,822.32, 848,760 and 186,776.08

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Solution

The fourth proportional to 565,822.32, 848,760 and 186,776.08 is: 280,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,822.32 : 848,760 = 186,776.08 : x
  2. Step 2: Convert to fraction form
    565,822.32/848,760 = 186,776.08/x
  3. Step 3: Cross multiply
    565,822.32x = 848,760 × 186,776.08
  4. Step 4: Simplify right side
    565,822.32x = 158,528,065,660.80
  5. Step 5: Solve for x
    x = 158,528,065,660.80/565,822.32
  6. Step 6: Final answer
    x = 280,172.87

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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.