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Finding the Fourth Proportional to 565,771.52, 780,764.94 and 311,122.71

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Solution

The fourth proportional to 565,771.52, 780,764.94 and 311,122.71 is: 429,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,771.52 : 780,764.94 = 311,122.71 : x
  2. Step 2: Convert to fraction form
    565,771.52/780,764.94 = 311,122.71/x
  3. Step 3: Cross multiply
    565,771.52x = 780,764.94 × 311,122.71
  4. Step 4: Simplify right side
    565,771.52x = 242,913,704,005.79
  5. Step 5: Solve for x
    x = 242,913,704,005.79/565,771.52
  6. Step 6: Final answer
    x = 429,349.47

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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.