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Finding the Fourth Proportional to 565,711.84, 780,679.92 and 311,076.64

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Solution

The fourth proportional to 565,711.84, 780,679.92 and 311,076.64 is: 429,284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,711.84 : 780,679.92 = 311,076.64 : x
  2. Step 2: Convert to fraction form
    565,711.84/780,679.92 = 311,076.64/x
  3. Step 3: Cross multiply
    565,711.84x = 780,679.92 × 311,076.64
  4. Step 4: Simplify right side
    565,711.84x = 242,851,286,429.07
  5. Step 5: Solve for x
    x = 242,851,286,429.07/565,711.84
  6. Step 6: Final answer
    x = 429,284.43

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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.