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Finding the Fourth Proportional to 301,434.30, 415,956.48 and 165,446.64

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Solution

The fourth proportional to 301,434.30, 415,956.48 and 165,446.64 is: 228,303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,434.30 : 415,956.48 = 165,446.64 : x
  2. Step 2: Convert to fraction form
    301,434.30/415,956.48 = 165,446.64/x
  3. Step 3: Cross multiply
    301,434.30x = 415,956.48 × 165,446.64
  4. Step 4: Simplify right side
    301,434.30x = 68,818,602,002.23
  5. Step 5: Solve for x
    x = 68,818,602,002.23/301,434.30
  6. Step 6: Final answer
    x = 228,303.82

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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.