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Finding the Fourth Proportional to 307,964.82, 461,877.57 and 97,487.94

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Solution

The fourth proportional to 307,964.82, 461,877.57 and 97,487.94 is: 146,209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,964.82 : 461,877.57 = 97,487.94 : x
  2. Step 2: Convert to fraction form
    307,964.82/461,877.57 = 97,487.94/x
  3. Step 3: Cross multiply
    307,964.82x = 461,877.57 × 97,487.94
  4. Step 4: Simplify right side
    307,964.82x = 45,027,492,831.51
  5. Step 5: Solve for x
    x = 45,027,492,831.51/307,964.82
  6. Step 6: Final answer
    x = 146,209.86

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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.