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Finding the Fourth Proportional to 380,211.66, 524,808.90 and 219,174.36

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Solution

The fourth proportional to 380,211.66, 524,808.90 and 219,174.36 is: 302,527.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,211.66 : 524,808.90 = 219,174.36 : x
  2. Step 2: Convert to fraction form
    380,211.66/524,808.90 = 219,174.36/x
  3. Step 3: Cross multiply
    380,211.66x = 524,808.90 × 219,174.36
  4. Step 4: Simplify right side
    380,211.66x = 115,024,654,779.80
  5. Step 5: Solve for x
    x = 115,024,654,779.80/380,211.66
  6. Step 6: Final answer
    x = 302,527.95

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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.