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Finding the Fourth Proportional to 297,703.56, 446,569.95 and 120,188.40

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Solution

The fourth proportional to 297,703.56, 446,569.95 and 120,188.40 is: 180,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,703.56 : 446,569.95 = 120,188.40 : x
  2. Step 2: Convert to fraction form
    297,703.56/446,569.95 = 120,188.40/x
  3. Step 3: Cross multiply
    297,703.56x = 446,569.95 × 120,188.40
  4. Step 4: Simplify right side
    297,703.56x = 53,672,527,778.58
  5. Step 5: Solve for x
    x = 53,672,527,778.58/297,703.56
  6. Step 6: Final answer
    x = 180,288.50

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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.