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Finding the Fourth Proportional to 565,805.32, 780,795.78 and 311,156.52

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Solution

The fourth proportional to 565,805.32, 780,795.78 and 311,156.52 is: 429,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,805.32 : 780,795.78 = 311,156.52 : x
  2. Step 2: Convert to fraction form
    565,805.32/780,795.78 = 311,156.52/x
  3. Step 3: Cross multiply
    565,805.32x = 780,795.78 × 311,156.52
  4. Step 4: Simplify right side
    565,805.32x = 242,949,697,735.49
  5. Step 5: Solve for x
    x = 242,949,697,735.49/565,805.32
  6. Step 6: Final answer
    x = 429,387.44

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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.