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Finding the Fourth Proportional to 565,951.77, 780,997.14 and 311,302.98

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Solution

The fourth proportional to 565,951.77, 780,997.14 and 311,302.98 is: 429,589.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,951.77 : 780,997.14 = 311,302.98 : x
  2. Step 2: Convert to fraction form
    565,951.77/780,997.14 = 311,302.98/x
  3. Step 3: Cross multiply
    565,951.77x = 780,997.14 × 311,302.98
  4. Step 4: Simplify right side
    565,951.77x = 243,126,737,053.48
  5. Step 5: Solve for x
    x = 243,126,737,053.48/565,951.77
  6. Step 6: Final answer
    x = 429,589.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.