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Finding the Fourth Proportional to 565,825.04, 780,820.68 and 311,175.44

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Solution

The fourth proportional to 565,825.04, 780,820.68 and 311,175.44 is: 429,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,825.04 : 780,820.68 = 311,175.44 : x
  2. Step 2: Convert to fraction form
    565,825.04/780,820.68 = 311,175.44/x
  3. Step 3: Cross multiply
    565,825.04x = 780,820.68 × 311,175.44
  4. Step 4: Simplify right side
    565,825.04x = 242,972,218,660.10
  5. Step 5: Solve for x
    x = 242,972,218,660.10/565,825.04
  6. Step 6: Final answer
    x = 429,412.28

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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.