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Finding the Fourth Proportional to 431,979.90, 647,444.52 and 305,656.54

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Solution

The fourth proportional to 431,979.90, 647,444.52 and 305,656.54 is: 458,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,979.90 : 647,444.52 = 305,656.54 : x
  2. Step 2: Convert to fraction form
    431,979.90/647,444.52 = 305,656.54/x
  3. Step 3: Cross multiply
    431,979.90x = 647,444.52 × 305,656.54
  4. Step 4: Simplify right side
    431,979.90x = 197,895,651,825.16
  5. Step 5: Solve for x
    x = 197,895,651,825.16/431,979.90
  6. Step 6: Final answer
    x = 458,113.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.