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Finding the Fourth Proportional to 541,812, 812,724.14 and 142,493.14

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Solution

The fourth proportional to 541,812, 812,724.14 and 142,493.14 is: 213,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,812 : 812,724.14 = 142,493.14 : x
  2. Step 2: Convert to fraction form
    541,812/812,724.14 = 142,493.14/x
  3. Step 3: Cross multiply
    541,812x = 812,724.14 × 142,493.14
  4. Step 4: Simplify right side
    541,812x = 115,807,610,598.78
  5. Step 5: Solve for x
    x = 115,807,610,598.78/541,812
  6. Step 6: Final answer
    x = 213,741.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.