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Finding the Fourth Proportional to 307,846.40, 461,812.80 and 97,462.40

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Solution

The fourth proportional to 307,846.40, 461,812.80 and 97,462.40 is: 146,207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,846.40 : 461,812.80 = 97,462.40 : x
  2. Step 2: Convert to fraction form
    307,846.40/461,812.80 = 97,462.40/x
  3. Step 3: Cross multiply
    307,846.40x = 461,812.80 × 97,462.40
  4. Step 4: Simplify right side
    307,846.40x = 45,009,383,838.72
  5. Step 5: Solve for x
    x = 45,009,383,838.72/307,846.40
  6. Step 6: Final answer
    x = 146,207.28

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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.