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Finding the Fourth Proportional to 510,853.94, 766,014.84 and 190,742.56

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Solution

The fourth proportional to 510,853.94, 766,014.84 and 190,742.56 is: 286,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,853.94 : 766,014.84 = 190,742.56 : x
  2. Step 2: Convert to fraction form
    510,853.94/766,014.84 = 190,742.56/x
  3. Step 3: Cross multiply
    510,853.94x = 766,014.84 × 190,742.56
  4. Step 4: Simplify right side
    510,853.94x = 146,111,627,749.52
  5. Step 5: Solve for x
    x = 146,111,627,749.52/510,853.94
  6. Step 6: Final answer
    x = 286,014.49

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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.