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Finding the Fourth Proportional to 297,474.80, 446,117.58 and 97,749.20

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Solution

The fourth proportional to 297,474.80, 446,117.58 and 97,749.20 is: 146,592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,474.80 : 446,117.58 = 97,749.20 : x
  2. Step 2: Convert to fraction form
    297,474.80/446,117.58 = 97,749.20/x
  3. Step 3: Cross multiply
    297,474.80x = 446,117.58 × 97,749.20
  4. Step 4: Simplify right side
    297,474.80x = 43,607,636,550.94
  5. Step 5: Solve for x
    x = 43,607,636,550.94/297,474.80
  6. Step 6: Final answer
    x = 146,592.71

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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.