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Finding the Fourth Proportional to 507,508.80, 760,713.84 and 330,142.56

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Solution

The fourth proportional to 507,508.80, 760,713.84 and 330,142.56 is: 494,856.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,508.80 : 760,713.84 = 330,142.56 : x
  2. Step 2: Convert to fraction form
    507,508.80/760,713.84 = 330,142.56/x
  3. Step 3: Cross multiply
    507,508.80x = 760,713.84 × 330,142.56
  4. Step 4: Simplify right side
    507,508.80x = 251,144,014,565.03
  5. Step 5: Solve for x
    x = 251,144,014,565.03/507,508.80
  6. Step 6: Final answer
    x = 494,856.47

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