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Finding the Fourth Proportional to 403,897.70, 605,846.55 and 204,832.10

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Solution

The fourth proportional to 403,897.70, 605,846.55 and 204,832.10 is: 307,248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,897.70 : 605,846.55 = 204,832.10 : x
  2. Step 2: Convert to fraction form
    403,897.70/605,846.55 = 204,832.10/x
  3. Step 3: Cross multiply
    403,897.70x = 605,846.55 × 204,832.10
  4. Step 4: Simplify right side
    403,897.70x = 124,096,821,114.26
  5. Step 5: Solve for x
    x = 124,096,821,114.26/403,897.70
  6. Step 6: Final answer
    x = 307,248.15

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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.