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Finding the Fourth Proportional to 307,833.80, 461,750.70 and 97,471.40

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Solution

The fourth proportional to 307,833.80, 461,750.70 and 97,471.40 is: 146,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,833.80 : 461,750.70 = 97,471.40 : x
  2. Step 2: Convert to fraction form
    307,833.80/461,750.70 = 97,471.40/x
  3. Step 3: Cross multiply
    307,833.80x = 461,750.70 × 97,471.40
  4. Step 4: Simplify right side
    307,833.80x = 45,007,487,179.98
  5. Step 5: Solve for x
    x = 45,007,487,179.98/307,833.80
  6. Step 6: Final answer
    x = 146,207.10

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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.