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Finding the Fourth Proportional to 307,895.84, 461,856.72 and 97,529.12

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Solution

The fourth proportional to 307,895.84, 461,856.72 and 97,529.12 is: 146,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,895.84 : 461,856.72 = 97,529.12 : x
  2. Step 2: Convert to fraction form
    307,895.84/461,856.72 = 97,529.12/x
  3. Step 3: Cross multiply
    307,895.84x = 461,856.72 × 97,529.12
  4. Step 4: Simplify right side
    307,895.84x = 45,044,479,467.69
  5. Step 5: Solve for x
    x = 45,044,479,467.69/307,895.84
  6. Step 6: Final answer
    x = 146,297.79

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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.