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Finding the Fourth Proportional to 301,023.64, 415,417.44 and 165,070

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Solution

The fourth proportional to 301,023.64, 415,417.44 and 165,070 is: 227,799.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,023.64 : 415,417.44 = 165,070 : x
  2. Step 2: Convert to fraction form
    301,023.64/415,417.44 = 165,070/x
  3. Step 3: Cross multiply
    301,023.64x = 415,417.44 × 165,070
  4. Step 4: Simplify right side
    301,023.64x = 68,572,956,820.80
  5. Step 5: Solve for x
    x = 68,572,956,820.80/301,023.64
  6. Step 6: Final answer
    x = 227,799.24

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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.