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Finding the Fourth Proportional to 362,006, 543,023.64 and 172,368.80

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Solution

The fourth proportional to 362,006, 543,023.64 and 172,368.80 is: 258,560.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,006 : 543,023.64 = 172,368.80 : x
  2. Step 2: Convert to fraction form
    362,006/543,023.64 = 172,368.80/x
  3. Step 3: Cross multiply
    362,006x = 543,023.64 × 172,368.80
  4. Step 4: Simplify right side
    362,006x = 93,600,333,198.43
  5. Step 5: Solve for x
    x = 93,600,333,198.43/362,006
  6. Step 6: Final answer
    x = 258,560.17

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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.