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Finding the Fourth Proportional to 301,473.63, 416,031.84 and 165,509.82

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Solution

The fourth proportional to 301,473.63, 416,031.84 and 165,509.82 is: 228,402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,473.63 : 416,031.84 = 165,509.82 : x
  2. Step 2: Convert to fraction form
    301,473.63/416,031.84 = 165,509.82/x
  3. Step 3: Cross multiply
    301,473.63x = 416,031.84 × 165,509.82
  4. Step 4: Simplify right side
    301,473.63x = 68,857,354,952.67
  5. Step 5: Solve for x
    x = 68,857,354,952.67/301,473.63
  6. Step 6: Final answer
    x = 228,402.58

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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.