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Finding the Fourth Proportional to 541,308.14, 746,921.99 and 311,820.59

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Solution

The fourth proportional to 541,308.14, 746,921.99 and 311,820.59 is: 430,264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,308.14 : 746,921.99 = 311,820.59 : x
  2. Step 2: Convert to fraction form
    541,308.14/746,921.99 = 311,820.59/x
  3. Step 3: Cross multiply
    541,308.14x = 746,921.99 × 311,820.59
  4. Step 4: Simplify right side
    541,308.14x = 232,905,658,252.63
  5. Step 5: Solve for x
    x = 232,905,658,252.63/541,308.14
  6. Step 6: Final answer
    x = 430,264.47

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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.