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Finding the Fourth Proportional to 507,610.88, 700,821.54 and 326,637.32

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Solution

The fourth proportional to 507,610.88, 700,821.54 and 326,637.32 is: 450,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,610.88 : 700,821.54 = 326,637.32 : x
  2. Step 2: Convert to fraction form
    507,610.88/700,821.54 = 326,637.32/x
  3. Step 3: Cross multiply
    507,610.88x = 700,821.54 × 326,637.32
  4. Step 4: Simplify right side
    507,610.88x = 228,914,471,375.93
  5. Step 5: Solve for x
    x = 228,914,471,375.93/507,610.88
  6. Step 6: Final answer
    x = 450,964.47

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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.