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Finding the Fourth Proportional to 284,704.21, 427,055.94 and 116,303.68

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Solution

The fourth proportional to 284,704.21, 427,055.94 and 116,303.68 is: 174,455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,704.21 : 427,055.94 = 116,303.68 : x
  2. Step 2: Convert to fraction form
    284,704.21/427,055.94 = 116,303.68/x
  3. Step 3: Cross multiply
    284,704.21x = 427,055.94 × 116,303.68
  4. Step 4: Simplify right side
    284,704.21x = 49,668,177,387.86
  5. Step 5: Solve for x
    x = 49,668,177,387.86/284,704.21
  6. Step 6: Final answer
    x = 174,455.37

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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.