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Finding the Fourth Proportional to 565,824, 780,837.12 and 311,191.68

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Solution

The fourth proportional to 565,824, 780,837.12 and 311,191.68 is: 429,444.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,824 : 780,837.12 = 311,191.68 : x
  2. Step 2: Convert to fraction form
    565,824/780,837.12 = 311,191.68/x
  3. Step 3: Cross multiply
    565,824x = 780,837.12 × 311,191.68
  4. Step 4: Simplify right side
    565,824x = 242,990,015,179.16
  5. Step 5: Solve for x
    x = 242,990,015,179.16/565,824
  6. Step 6: Final answer
    x = 429,444.52

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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.