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Finding the Fourth Proportional to 565,863.76, 848,783.31 and 266,178.23

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Solution

The fourth proportional to 565,863.76, 848,783.31 and 266,178.23 is: 399,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,863.76 : 848,783.31 = 266,178.23 : x
  2. Step 2: Convert to fraction form
    565,863.76/848,783.31 = 266,178.23/x
  3. Step 3: Cross multiply
    565,863.76x = 848,783.31 × 266,178.23
  4. Step 4: Simplify right side
    565,863.76x = 225,927,636,987.38
  5. Step 5: Solve for x
    x = 225,927,636,987.38/565,863.76
  6. Step 6: Final answer
    x = 399,261.54

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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.