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Finding the Fourth Proportional to 565,859.52, 780,892.65 and 311,214.96

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Solution

The fourth proportional to 565,859.52, 780,892.65 and 311,214.96 is: 429,480.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,859.52 : 780,892.65 = 311,214.96 : x
  2. Step 2: Convert to fraction form
    565,859.52/780,892.65 = 311,214.96/x
  3. Step 3: Cross multiply
    565,859.52x = 780,892.65 × 311,214.96
  4. Step 4: Simplify right side
    565,859.52x = 243,025,474,834.04
  5. Step 5: Solve for x
    x = 243,025,474,834.04/565,859.52
  6. Step 6: Final answer
    x = 429,480.23

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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.