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Finding the Fourth Proportional to 364,386.70, 502,855.38 and 201,043.20

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Solution

The fourth proportional to 364,386.70, 502,855.38 and 201,043.20 is: 277,440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,386.70 : 502,855.38 = 201,043.20 : x
  2. Step 2: Convert to fraction form
    364,386.70/502,855.38 = 201,043.20/x
  3. Step 3: Cross multiply
    364,386.70x = 502,855.38 × 201,043.20
  4. Step 4: Simplify right side
    364,386.70x = 101,095,652,720.75
  5. Step 5: Solve for x
    x = 101,095,652,720.75/364,386.70
  6. Step 6: Final answer
    x = 277,440.57

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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.