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Finding the Fourth Proportional to 567,164.88, 782,684.28 and 309,041.64

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Solution

The fourth proportional to 567,164.88, 782,684.28 and 309,041.64 is: 426,475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,164.88 : 782,684.28 = 309,041.64 : x
  2. Step 2: Convert to fraction form
    567,164.88/782,684.28 = 309,041.64/x
  3. Step 3: Cross multiply
    567,164.88x = 782,684.28 × 309,041.64
  4. Step 4: Simplify right side
    567,164.88x = 241,882,033,493.42
  5. Step 5: Solve for x
    x = 241,882,033,493.42/567,164.88
  6. Step 6: Final answer
    x = 426,475.69

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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.