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Finding the Fourth Proportional to 529,863.41, 730,954.31 and 314,851.20

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Solution

The fourth proportional to 529,863.41, 730,954.31 and 314,851.20 is: 434,341.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,863.41 : 730,954.31 = 314,851.20 : x
  2. Step 2: Convert to fraction form
    529,863.41/730,954.31 = 314,851.20/x
  3. Step 3: Cross multiply
    529,863.41x = 730,954.31 × 314,851.20
  4. Step 4: Simplify right side
    529,863.41x = 230,141,840,074.42
  5. Step 5: Solve for x
    x = 230,141,840,074.42/529,863.41
  6. Step 6: Final answer
    x = 434,341.83

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Why These Related Problems?

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