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Finding the Fourth Proportional to 362,564.70, 543,847.05 and 310,076.70

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Solution

The fourth proportional to 362,564.70, 543,847.05 and 310,076.70 is: 465,115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,564.70 : 543,847.05 = 310,076.70 : x
  2. Step 2: Convert to fraction form
    362,564.70/543,847.05 = 310,076.70/x
  3. Step 3: Cross multiply
    362,564.70x = 543,847.05 × 310,076.70
  4. Step 4: Simplify right side
    362,564.70x = 168,634,298,568.74
  5. Step 5: Solve for x
    x = 168,634,298,568.74/362,564.70
  6. Step 6: Final answer
    x = 465,115.05

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Why These Related Problems?

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