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Finding the Fourth Proportional to 365,854.42, 548,765.16 and 152,534.44

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Solution

The fourth proportional to 365,854.42, 548,765.16 and 152,534.44 is: 228,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,854.42 : 548,765.16 = 152,534.44 : x
  2. Step 2: Convert to fraction form
    365,854.42/548,765.16 = 152,534.44/x
  3. Step 3: Cross multiply
    365,854.42x = 548,765.16 × 152,534.44
  4. Step 4: Simplify right side
    365,854.42x = 83,705,586,372.11
  5. Step 5: Solve for x
    x = 83,705,586,372.11/365,854.42
  6. Step 6: Final answer
    x = 228,794.79

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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.