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Finding the Fourth Proportional to 307,353.46, 461,030.19 and 82,714.39

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Solution

The fourth proportional to 307,353.46, 461,030.19 and 82,714.39 is: 124,071.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,353.46 : 461,030.19 = 82,714.39 : x
  2. Step 2: Convert to fraction form
    307,353.46/461,030.19 = 82,714.39/x
  3. Step 3: Cross multiply
    307,353.46x = 461,030.19 × 82,714.39
  4. Step 4: Simplify right side
    307,353.46x = 38,133,831,352.91
  5. Step 5: Solve for x
    x = 38,133,831,352.91/307,353.46
  6. Step 6: Final answer
    x = 124,071.59

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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.