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Finding the Fourth Proportional to 560,486.52, 773,464.14 and 305,833.32

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Solution

The fourth proportional to 560,486.52, 773,464.14 and 305,833.32 is: 422,046.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,486.52 : 773,464.14 = 305,833.32 : x
  2. Step 2: Convert to fraction form
    560,486.52/773,464.14 = 305,833.32/x
  3. Step 3: Cross multiply
    560,486.52x = 773,464.14 × 305,833.32
  4. Step 4: Simplify right side
    560,486.52x = 236,551,105,837.15
  5. Step 5: Solve for x
    x = 236,551,105,837.15/560,486.52
  6. Step 6: Final answer
    x = 422,046.02

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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.