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Finding the Fourth Proportional to 322,446.51, 483,670.89 and 97,808.88

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Solution

The fourth proportional to 322,446.51, 483,670.89 and 97,808.88 is: 146,713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,446.51 : 483,670.89 = 97,808.88 : x
  2. Step 2: Convert to fraction form
    322,446.51/483,670.89 = 97,808.88/x
  3. Step 3: Cross multiply
    322,446.51x = 483,670.89 × 97,808.88
  4. Step 4: Simplify right side
    322,446.51x = 47,307,308,039.50
  5. Step 5: Solve for x
    x = 47,307,308,039.50/322,446.51
  6. Step 6: Final answer
    x = 146,713.66

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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.