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Finding the Fourth Proportional to 301,886.34, 416,607.47 and 165,932.86

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Solution

The fourth proportional to 301,886.34, 416,607.47 and 165,932.86 is: 228,989.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,886.34 : 416,607.47 = 165,932.86 : x
  2. Step 2: Convert to fraction form
    301,886.34/416,607.47 = 165,932.86/x
  3. Step 3: Cross multiply
    301,886.34x = 416,607.47 × 165,932.86
  4. Step 4: Simplify right side
    301,886.34x = 69,128,868,164.80
  5. Step 5: Solve for x
    x = 69,128,868,164.80/301,886.34
  6. Step 6: Final answer
    x = 228,989.72

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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.