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Finding the Fourth Proportional to 413,118.72, 569,782.44 and 298,826.10

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Solution

The fourth proportional to 413,118.72, 569,782.44 and 298,826.10 is: 412,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,118.72 : 569,782.44 = 298,826.10 : x
  2. Step 2: Convert to fraction form
    413,118.72/569,782.44 = 298,826.10/x
  3. Step 3: Cross multiply
    413,118.72x = 569,782.44 × 298,826.10
  4. Step 4: Simplify right side
    413,118.72x = 170,265,864,393.68
  5. Step 5: Solve for x
    x = 170,265,864,393.68/413,118.72
  6. Step 6: Final answer
    x = 412,147.54

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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.