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Finding the Fourth Proportional to 322,597.29, 483,864.65 and 97,959.67

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Solution

The fourth proportional to 322,597.29, 483,864.65 and 97,959.67 is: 146,930.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,597.29 : 483,864.65 = 97,959.67 : x
  2. Step 2: Convert to fraction form
    322,597.29/483,864.65 = 97,959.67/x
  3. Step 3: Cross multiply
    322,597.29x = 483,864.65 × 97,959.67
  4. Step 4: Simplify right side
    322,597.29x = 47,399,219,739.21
  5. Step 5: Solve for x
    x = 47,399,219,739.21/322,597.29
  6. Step 6: Final answer
    x = 146,930.00

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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.