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Finding the Fourth Proportional to 284,055.72, 426,651.06 and 177,629.01

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Solution

The fourth proportional to 284,055.72, 426,651.06 and 177,629.01 is: 266,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,055.72 : 426,651.06 = 177,629.01 : x
  2. Step 2: Convert to fraction form
    284,055.72/426,651.06 = 177,629.01/x
  3. Step 3: Cross multiply
    284,055.72x = 426,651.06 × 177,629.01
  4. Step 4: Simplify right side
    284,055.72x = 75,785,606,025.81
  5. Step 5: Solve for x
    x = 75,785,606,025.81/284,055.72
  6. Step 6: Final answer
    x = 266,798.38

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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.