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Finding the Fourth Proportional to 297,409.04, 446,183.76 and 97,730

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Solution

The fourth proportional to 297,409.04, 446,183.76 and 97,730 is: 146,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,409.04 : 446,183.76 = 97,730 : x
  2. Step 2: Convert to fraction form
    297,409.04/446,183.76 = 97,730/x
  3. Step 3: Cross multiply
    297,409.04x = 446,183.76 × 97,730
  4. Step 4: Simplify right side
    297,409.04x = 43,605,538,864.80
  5. Step 5: Solve for x
    x = 43,605,538,864.80/297,409.04
  6. Step 6: Final answer
    x = 146,618.07

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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.