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Finding the Fourth Proportional to 297,587.74, 446,332.26 and 97,910.56

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Solution

The fourth proportional to 297,587.74, 446,332.26 and 97,910.56 is: 146,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,587.74 : 446,332.26 = 97,910.56 : x
  2. Step 2: Convert to fraction form
    297,587.74/446,332.26 = 97,910.56/x
  3. Step 3: Cross multiply
    297,587.74x = 446,332.26 × 97,910.56
  4. Step 4: Simplify right side
    297,587.74x = 43,700,641,522.67
  5. Step 5: Solve for x
    x = 43,700,641,522.67/297,587.74
  6. Step 6: Final answer
    x = 146,849.60

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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.