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Finding the Fourth Proportional to 565,863.50, 848,782.95 and 266,177.98

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Solution

The fourth proportional to 565,863.50, 848,782.95 and 266,177.98 is: 399,261.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,863.50 : 848,782.95 = 266,177.98 : x
  2. Step 2: Convert to fraction form
    565,863.50/848,782.95 = 266,177.98/x
  3. Step 3: Cross multiply
    565,863.50x = 848,782.95 × 266,177.98
  4. Step 4: Simplify right side
    565,863.50x = 225,927,331,089.44
  5. Step 5: Solve for x
    x = 225,927,331,089.44/565,863.50
  6. Step 6: Final answer
    x = 399,261.18

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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.