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Finding the Fourth Proportional to 368,006.10, 507,851.22 and 204,664.89

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Solution

The fourth proportional to 368,006.10, 507,851.22 and 204,664.89 is: 282,439.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,006.10 : 507,851.22 = 204,664.89 : x
  2. Step 2: Convert to fraction form
    368,006.10/507,851.22 = 204,664.89/x
  3. Step 3: Cross multiply
    368,006.10x = 507,851.22 × 204,664.89
  4. Step 4: Simplify right side
    368,006.10x = 103,939,315,598.36
  5. Step 5: Solve for x
    x = 103,939,315,598.36/368,006.10
  6. Step 6: Final answer
    x = 282,439.11

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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.