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Finding the Fourth Proportional to 380,319.87, 524,840.52 and 219,173.52

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Solution

The fourth proportional to 380,319.87, 524,840.52 and 219,173.52 is: 302,458.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,319.87 : 524,840.52 = 219,173.52 : x
  2. Step 2: Convert to fraction form
    380,319.87/524,840.52 = 219,173.52/x
  3. Step 3: Cross multiply
    380,319.87x = 524,840.52 × 219,173.52
  4. Step 4: Simplify right side
    380,319.87x = 115,031,144,207.03
  5. Step 5: Solve for x
    x = 115,031,144,207.03/380,319.87
  6. Step 6: Final answer
    x = 302,458.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.