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Finding the Fourth Proportional to 533,714.20, 801,008.70 and 516,218.20

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Solution

The fourth proportional to 533,714.20, 801,008.70 and 516,218.20 is: 774,750.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,714.20 : 801,008.70 = 516,218.20 : x
  2. Step 2: Convert to fraction form
    533,714.20/801,008.70 = 516,218.20/x
  3. Step 3: Cross multiply
    533,714.20x = 801,008.70 × 516,218.20
  4. Step 4: Simplify right side
    533,714.20x = 413,495,269,298.34
  5. Step 5: Solve for x
    x = 413,495,269,298.34/533,714.20
  6. Step 6: Final answer
    x = 774,750.36

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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.