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Finding the Fourth Proportional to 413,066.00, 618,395.51 and 306,920.41

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Solution

The fourth proportional to 413,066.00, 618,395.51 and 306,920.41 is: 459,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,066.00 : 618,395.51 = 306,920.41 : x
  2. Step 2: Convert to fraction form
    413,066.00/618,395.51 = 306,920.41/x
  3. Step 3: Cross multiply
    413,066.00x = 618,395.51 × 306,920.41
  4. Step 4: Simplify right side
    413,066.00x = 189,798,202,692.67
  5. Step 5: Solve for x
    x = 189,798,202,692.67/413,066.00
  6. Step 6: Final answer
    x = 459,486.38

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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.