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Finding the Fourth Proportional to 301,777.48, 416,456.58 and 165,818.44

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Solution

The fourth proportional to 301,777.48, 416,456.58 and 165,818.44 is: 228,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,777.48 : 416,456.58 = 165,818.44 : x
  2. Step 2: Convert to fraction form
    301,777.48/416,456.58 = 165,818.44/x
  3. Step 3: Cross multiply
    301,777.48x = 416,456.58 × 165,818.44
  4. Step 4: Simplify right side
    301,777.48x = 69,056,180,423.34
  5. Step 5: Solve for x
    x = 69,056,180,423.34/301,777.48
  6. Step 6: Final answer
    x = 228,831.46

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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.