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Finding the Fourth Proportional to 456,891.25, 630,422.43 and 295,723.93

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Solution

The fourth proportional to 456,891.25, 630,422.43 and 295,723.93 is: 408,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,891.25 : 630,422.43 = 295,723.93 : x
  2. Step 2: Convert to fraction form
    456,891.25/630,422.43 = 295,723.93/x
  3. Step 3: Cross multiply
    456,891.25x = 630,422.43 × 295,723.93
  4. Step 4: Simplify right side
    456,891.25x = 186,430,998,559.75
  5. Step 5: Solve for x
    x = 186,430,998,559.75/456,891.25
  6. Step 6: Final answer
    x = 408,042.39

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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.