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Finding the Fourth Proportional to 307,864.80, 461,794.01 and 97,502.72

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Solution

The fourth proportional to 307,864.80, 461,794.01 and 97,502.72 is: 146,253.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,864.80 : 461,794.01 = 97,502.72 : x
  2. Step 2: Convert to fraction form
    307,864.80/461,794.01 = 97,502.72/x
  3. Step 3: Cross multiply
    307,864.80x = 461,794.01 × 97,502.72
  4. Step 4: Simplify right side
    307,864.80x = 45,026,169,258.22
  5. Step 5: Solve for x
    x = 45,026,169,258.22/307,864.80
  6. Step 6: Final answer
    x = 146,253.06

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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.