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Finding the Fourth Proportional to 307,743.40, 461,658.30 and 97,359.40

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Solution

The fourth proportional to 307,743.40, 461,658.30 and 97,359.40 is: 146,052.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,743.40 : 461,658.30 = 97,359.40 : x
  2. Step 2: Convert to fraction form
    307,743.40/461,658.30 = 97,359.40/x
  3. Step 3: Cross multiply
    307,743.40x = 461,658.30 × 97,359.40
  4. Step 4: Simplify right side
    307,743.40x = 44,946,775,093.02
  5. Step 5: Solve for x
    x = 44,946,775,093.02/307,743.40
  6. Step 6: Final answer
    x = 146,052.77

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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.