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Finding the Fourth Proportional to 284,827.96, 427,266.18 and 74,465.56

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Solution

The fourth proportional to 284,827.96, 427,266.18 and 74,465.56 is: 111,704.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,827.96 : 427,266.18 = 74,465.56 : x
  2. Step 2: Convert to fraction form
    284,827.96/427,266.18 = 74,465.56/x
  3. Step 3: Cross multiply
    284,827.96x = 427,266.18 × 74,465.56
  4. Step 4: Simplify right side
    284,827.96x = 31,816,615,362.76
  5. Step 5: Solve for x
    x = 31,816,615,362.76/284,827.96
  6. Step 6: Final answer
    x = 111,704.68

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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.