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Finding the Fourth Proportional to 371,500.50, 512,666.16 and 201,735.84

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Solution

The fourth proportional to 371,500.50, 512,666.16 and 201,735.84 is: 278,393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,500.50 : 512,666.16 = 201,735.84 : x
  2. Step 2: Convert to fraction form
    371,500.50/512,666.16 = 201,735.84/x
  3. Step 3: Cross multiply
    371,500.50x = 512,666.16 × 201,735.84
  4. Step 4: Simplify right side
    371,500.50x = 103,423,138,427.17
  5. Step 5: Solve for x
    x = 103,423,138,427.17/371,500.50
  6. Step 6: Final answer
    x = 278,393.00

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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.