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Finding the Fourth Proportional to 362,404.80, 543,866.40 and 152,193.60

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Solution

The fourth proportional to 362,404.80, 543,866.40 and 152,193.60 is: 228,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,404.80 : 543,866.40 = 152,193.60 : x
  2. Step 2: Convert to fraction form
    362,404.80/543,866.40 = 152,193.60/x
  3. Step 3: Cross multiply
    362,404.80x = 543,866.40 × 152,193.60
  4. Step 4: Simplify right side
    362,404.80x = 82,772,985,335.04
  5. Step 5: Solve for x
    x = 82,772,985,335.04/362,404.80
  6. Step 6: Final answer
    x = 228,399.25

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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.