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Finding the Fourth Proportional to 381,203.34, 571,586.24 and 144,394.98

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Solution

The fourth proportional to 381,203.34, 571,586.24 and 144,394.98 is: 216,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,203.34 : 571,586.24 = 144,394.98 : x
  2. Step 2: Convert to fraction form
    381,203.34/571,586.24 = 144,394.98/x
  3. Step 3: Cross multiply
    381,203.34x = 571,586.24 × 144,394.98
  4. Step 4: Simplify right side
    381,203.34x = 82,534,183,693.08
  5. Step 5: Solve for x
    x = 82,534,183,693.08/381,203.34
  6. Step 6: Final answer
    x = 216,509.60

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