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Finding the Fourth Proportional to 301,737.17, 416,404.62 and 165,779.91

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Solution

The fourth proportional to 301,737.17, 416,404.62 and 165,779.91 is: 228,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,737.17 : 416,404.62 = 165,779.91 : x
  2. Step 2: Convert to fraction form
    301,737.17/416,404.62 = 165,779.91/x
  3. Step 3: Cross multiply
    301,737.17x = 416,404.62 × 165,779.91
  4. Step 4: Simplify right side
    301,737.17x = 69,031,520,427.18
  5. Step 5: Solve for x
    x = 69,031,520,427.18/301,737.17
  6. Step 6: Final answer
    x = 228,780.30

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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.