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Finding the Fourth Proportional to 415,844.28, 620,758.49 and 365,398.70

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Solution

The fourth proportional to 415,844.28, 620,758.49 and 365,398.70 is: 545,455.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,844.28 : 620,758.49 = 365,398.70 : x
  2. Step 2: Convert to fraction form
    415,844.28/620,758.49 = 365,398.70/x
  3. Step 3: Cross multiply
    415,844.28x = 620,758.49 × 365,398.70
  4. Step 4: Simplify right side
    415,844.28x = 226,824,340,329.18
  5. Step 5: Solve for x
    x = 226,824,340,329.18/415,844.28
  6. Step 6: Final answer
    x = 545,455.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.