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Finding the Fourth Proportional to 385,667.34, 578,441.61 and 105,206.46

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Solution

The fourth proportional to 385,667.34, 578,441.61 and 105,206.46 is: 157,793.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,667.34 : 578,441.61 = 105,206.46 : x
  2. Step 2: Convert to fraction form
    385,667.34/578,441.61 = 105,206.46/x
  3. Step 3: Cross multiply
    385,667.34x = 578,441.61 × 105,206.46
  4. Step 4: Simplify right side
    385,667.34x = 60,855,794,104.80
  5. Step 5: Solve for x
    x = 60,855,794,104.80/385,667.34
  6. Step 6: Final answer
    x = 157,793.49

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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.