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Finding the Fourth Proportional to 362,532, 543,913.56 and 152,113.44

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Solution

The fourth proportional to 362,532, 543,913.56 and 152,113.44 is: 228,218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,532 : 543,913.56 = 152,113.44 : x
  2. Step 2: Convert to fraction form
    362,532/543,913.56 = 152,113.44/x
  3. Step 3: Cross multiply
    362,532x = 543,913.56 × 152,113.44
  4. Step 4: Simplify right side
    362,532x = 82,736,562,674.25
  5. Step 5: Solve for x
    x = 82,736,562,674.25/362,532
  6. Step 6: Final answer
    x = 228,218.65

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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.