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Finding the Fourth Proportional to 362,408.10, 543,352.95 and 162,564.90

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Solution

The fourth proportional to 362,408.10, 543,352.95 and 162,564.90 is: 243,731.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,408.10 : 543,352.95 = 162,564.90 : x
  2. Step 2: Convert to fraction form
    362,408.10/543,352.95 = 162,564.90/x
  3. Step 3: Cross multiply
    362,408.10x = 543,352.95 × 162,564.90
  4. Step 4: Simplify right side
    362,408.10x = 88,330,117,981.46
  5. Step 5: Solve for x
    x = 88,330,117,981.46/362,408.10
  6. Step 6: Final answer
    x = 243,731.08

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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.