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Finding the Fourth Proportional to 294,457.68, 441,714.60 and 107,424.72

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Solution

The fourth proportional to 294,457.68, 441,714.60 and 107,424.72 is: 161,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,457.68 : 441,714.60 = 107,424.72 : x
  2. Step 2: Convert to fraction form
    294,457.68/441,714.60 = 107,424.72/x
  3. Step 3: Cross multiply
    294,457.68x = 441,714.60 × 107,424.72
  4. Step 4: Simplify right side
    294,457.68x = 47,451,067,224.91
  5. Step 5: Solve for x
    x = 47,451,067,224.91/294,457.68
  6. Step 6: Final answer
    x = 161,147.32

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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.