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Finding the Fourth Proportional to 382,073.82, 572,912.65 and 202,256.70

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Solution

The fourth proportional to 382,073.82, 572,912.65 and 202,256.70 is: 303,280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,073.82 : 572,912.65 = 202,256.70 : x
  2. Step 2: Convert to fraction form
    382,073.82/572,912.65 = 202,256.70/x
  3. Step 3: Cross multiply
    382,073.82x = 572,912.65 × 202,256.70
  4. Step 4: Simplify right side
    382,073.82x = 115,875,421,977.26
  5. Step 5: Solve for x
    x = 115,875,421,977.26/382,073.82
  6. Step 6: Final answer
    x = 303,280.19

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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.