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Finding the Fourth Proportional to 362,411.80, 543,272.10 and 282,405.40

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Solution

The fourth proportional to 362,411.80, 543,272.10 and 282,405.40 is: 423,338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,411.80 : 543,272.10 = 282,405.40 : x
  2. Step 2: Convert to fraction form
    362,411.80/543,272.10 = 282,405.40/x
  3. Step 3: Cross multiply
    362,411.80x = 543,272.10 × 282,405.40
  4. Step 4: Simplify right side
    362,411.80x = 153,422,974,709.34
  5. Step 5: Solve for x
    x = 153,422,974,709.34/362,411.80
  6. Step 6: Final answer
    x = 423,338.80

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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.