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Finding the Fourth Proportional to 264,695.40, 397,043.10 and 146,305.80

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Solution

The fourth proportional to 264,695.40, 397,043.10 and 146,305.80 is: 219,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,695.40 : 397,043.10 = 146,305.80 : x
  2. Step 2: Convert to fraction form
    264,695.40/397,043.10 = 146,305.80/x
  3. Step 3: Cross multiply
    264,695.40x = 397,043.10 × 146,305.80
  4. Step 4: Simplify right side
    264,695.40x = 58,089,708,379.98
  5. Step 5: Solve for x
    x = 58,089,708,379.98/264,695.40
  6. Step 6: Final answer
    x = 219,458.70

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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.