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Finding the Fourth Proportional to 831,352.14, 1,147,168.46 and 468,754.39

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Solution

The fourth proportional to 831,352.14, 1,147,168.46 and 468,754.39 is: 646,826.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,352.14 : 1,147,168.46 = 468,754.39 : x
  2. Step 2: Convert to fraction form
    831,352.14/1,147,168.46 = 468,754.39/x
  3. Step 3: Cross multiply
    831,352.14x = 1,147,168.46 × 468,754.39
  4. Step 4: Simplify right side
    831,352.14x = 537,740,243,614.93
  5. Step 5: Solve for x
    x = 537,740,243,614.93/831,352.14
  6. Step 6: Final answer
    x = 646,826.08

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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.