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Finding the Fourth Proportional to 516,511.17, 712,580.45 and 298,679.59

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Solution

The fourth proportional to 516,511.17, 712,580.45 and 298,679.59 is: 412,059.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,511.17 : 712,580.45 = 298,679.59 : x
  2. Step 2: Convert to fraction form
    516,511.17/712,580.45 = 298,679.59/x
  3. Step 3: Cross multiply
    516,511.17x = 712,580.45 × 298,679.59
  4. Step 4: Simplify right side
    516,511.17x = 212,833,236,648.02
  5. Step 5: Solve for x
    x = 212,833,236,648.02/516,511.17
  6. Step 6: Final answer
    x = 412,059.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.