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Finding the Fourth Proportional to 284,307.09, 426,462.01 and 115,829.04

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Solution

The fourth proportional to 284,307.09, 426,462.01 and 115,829.04 is: 173,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,307.09 : 426,462.01 = 115,829.04 : x
  2. Step 2: Convert to fraction form
    284,307.09/426,462.01 = 115,829.04/x
  3. Step 3: Cross multiply
    284,307.09x = 426,462.01 × 115,829.04
  4. Step 4: Simplify right side
    284,307.09x = 49,396,685,214.77
  5. Step 5: Solve for x
    x = 49,396,685,214.77/284,307.09
  6. Step 6: Final answer
    x = 173,744.12

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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.