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Finding the Fourth Proportional to 565,733.10, 780,711.69 and 311,084.29

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Solution

The fourth proportional to 565,733.10, 780,711.69 and 311,084.29 is: 429,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,733.10 : 780,711.69 = 311,084.29 : x
  2. Step 2: Convert to fraction form
    565,733.10/780,711.69 = 311,084.29/x
  3. Step 3: Cross multiply
    565,733.10x = 780,711.69 × 311,084.29
  4. Step 4: Simplify right side
    565,733.10x = 242,867,142,170.96
  5. Step 5: Solve for x
    x = 242,867,142,170.96/565,733.10
  6. Step 6: Final answer
    x = 429,296.32

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