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Finding the Fourth Proportional to 307,953.40, 461,498.10 and 244,881.40

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Solution

The fourth proportional to 307,953.40, 461,498.10 and 244,881.40 is: 366,978.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,953.40 : 461,498.10 = 244,881.40 : x
  2. Step 2: Convert to fraction form
    307,953.40/461,498.10 = 244,881.40/x
  3. Step 3: Cross multiply
    307,953.40x = 461,498.10 × 244,881.40
  4. Step 4: Simplify right side
    307,953.40x = 113,012,300,825.34
  5. Step 5: Solve for x
    x = 113,012,300,825.34/307,953.40
  6. Step 6: Final answer
    x = 366,978.58

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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.