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Finding the Fourth Proportional to 362,702.67, 500,541.82 and 201,564.51

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Solution

The fourth proportional to 362,702.67, 500,541.82 and 201,564.51 is: 278,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,702.67 : 500,541.82 = 201,564.51 : x
  2. Step 2: Convert to fraction form
    362,702.67/500,541.82 = 201,564.51/x
  3. Step 3: Cross multiply
    362,702.67x = 500,541.82 × 201,564.51
  4. Step 4: Simplify right side
    362,702.67x = 100,891,466,682.81
  5. Step 5: Solve for x
    x = 100,891,466,682.81/362,702.67
  6. Step 6: Final answer
    x = 278,165.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.