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Finding the Fourth Proportional to 365,890.42, 548,819.16 and 152,570.44

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Solution

The fourth proportional to 365,890.42, 548,819.16 and 152,570.44 is: 228,848.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,890.42 : 548,819.16 = 152,570.44 : x
  2. Step 2: Convert to fraction form
    365,890.42/548,819.16 = 152,570.44/x
  3. Step 3: Cross multiply
    365,890.42x = 548,819.16 × 152,570.44
  4. Step 4: Simplify right side
    365,890.42x = 83,733,580,721.63
  5. Step 5: Solve for x
    x = 83,733,580,721.63/365,890.42
  6. Step 6: Final answer
    x = 228,848.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.