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Finding the Fourth Proportional to 456,843.40, 630,434.62 and 252,894.44

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Solution

The fourth proportional to 456,843.40, 630,434.62 and 252,894.44 is: 348,989.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,843.40 : 630,434.62 = 252,894.44 : x
  2. Step 2: Convert to fraction form
    456,843.40/630,434.62 = 252,894.44/x
  3. Step 3: Cross multiply
    456,843.40x = 630,434.62 × 252,894.44
  4. Step 4: Simplify right side
    456,843.40x = 159,433,410,181.51
  5. Step 5: Solve for x
    x = 159,433,410,181.51/456,843.40
  6. Step 6: Final answer
    x = 348,989.19

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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.