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Finding the Fourth Proportional to 338,764.86, 466,322.10 and 292,803.54

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Solution

The fourth proportional to 338,764.86, 466,322.10 and 292,803.54 is: 403,054.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,764.86 : 466,322.10 = 292,803.54 : x
  2. Step 2: Convert to fraction form
    338,764.86/466,322.10 = 292,803.54/x
  3. Step 3: Cross multiply
    338,764.86x = 466,322.10 × 292,803.54
  4. Step 4: Simplify right side
    338,764.86x = 136,540,761,660.23
  5. Step 5: Solve for x
    x = 136,540,761,660.23/338,764.86
  6. Step 6: Final answer
    x = 403,054.68

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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.