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Finding the Fourth Proportional to 294,222.48, 441,399.96 and 107,234.64

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Solution

The fourth proportional to 294,222.48, 441,399.96 and 107,234.64 is: 160,876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,222.48 : 441,399.96 = 107,234.64 : x
  2. Step 2: Convert to fraction form
    294,222.48/441,399.96 = 107,234.64/x
  3. Step 3: Cross multiply
    294,222.48x = 441,399.96 × 107,234.64
  4. Step 4: Simplify right side
    294,222.48x = 47,333,365,806.61
  5. Step 5: Solve for x
    x = 47,333,365,806.61/294,222.48
  6. Step 6: Final answer
    x = 160,876.10

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1.5x scale

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.