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Finding the Fourth Proportional to 404,720.82, 607,454.46 and 205,181.10

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Solution

The fourth proportional to 404,720.82, 607,454.46 and 205,181.10 is: 307,960.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,720.82 : 607,454.46 = 205,181.10 : x
  2. Step 2: Convert to fraction form
    404,720.82/607,454.46 = 205,181.10/x
  3. Step 3: Cross multiply
    404,720.82x = 607,454.46 × 205,181.10
  4. Step 4: Simplify right side
    404,720.82x = 124,638,174,302.71
  5. Step 5: Solve for x
    x = 124,638,174,302.71/404,720.82
  6. Step 6: Final answer
    x = 307,960.87

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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.