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Finding the Fourth Proportional to 294,216.65, 404,744.86 and 257,753.89

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Solution

The fourth proportional to 294,216.65, 404,744.86 and 257,753.89 is: 354,584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,216.65 : 404,744.86 = 257,753.89 : x
  2. Step 2: Convert to fraction form
    294,216.65/404,744.86 = 257,753.89/x
  3. Step 3: Cross multiply
    294,216.65x = 404,744.86 × 257,753.89
  4. Step 4: Simplify right side
    294,216.65x = 104,324,562,950.63
  5. Step 5: Solve for x
    x = 104,324,562,950.63/294,216.65
  6. Step 6: Final answer
    x = 354,584.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.