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Finding the Fourth Proportional to 284,943.08, 393,400.62 and 183,009.64

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Solution

The fourth proportional to 284,943.08, 393,400.62 and 183,009.64 is: 252,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,943.08 : 393,400.62 = 183,009.64 : x
  2. Step 2: Convert to fraction form
    284,943.08/393,400.62 = 183,009.64/x
  3. Step 3: Cross multiply
    284,943.08x = 393,400.62 × 183,009.64
  4. Step 4: Simplify right side
    284,943.08x = 71,996,105,841.98
  5. Step 5: Solve for x
    x = 71,996,105,841.98/284,943.08
  6. Step 6: Final answer
    x = 252,668.38

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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.