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Finding the Fourth Proportional to 384,089.06, 576,144.12 and 103,605.50

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Solution

The fourth proportional to 384,089.06, 576,144.12 and 103,605.50 is: 155,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,089.06 : 576,144.12 = 103,605.50 : x
  2. Step 2: Convert to fraction form
    384,089.06/576,144.12 = 103,605.50/x
  3. Step 3: Cross multiply
    384,089.06x = 576,144.12 × 103,605.50
  4. Step 4: Simplify right side
    384,089.06x = 59,691,699,624.66
  5. Step 5: Solve for x
    x = 59,691,699,624.66/384,089.06
  6. Step 6: Final answer
    x = 155,411.09

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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.