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Finding the Fourth Proportional to 301,761.78, 416,434.08 and 165,798.54

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Solution

The fourth proportional to 301,761.78, 416,434.08 and 165,798.54 is: 228,803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,761.78 : 416,434.08 = 165,798.54 : x
  2. Step 2: Convert to fraction form
    301,761.78/416,434.08 = 165,798.54/x
  3. Step 3: Cross multiply
    301,761.78x = 416,434.08 × 165,798.54
  4. Step 4: Simplify right side
    301,761.78x = 69,044,162,470.24
  5. Step 5: Solve for x
    x = 69,044,162,470.24/301,761.78
  6. Step 6: Final answer
    x = 228,803.54

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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.