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Finding the Fourth Proportional to 367,097.67, 506,599.71 and 205,943.10

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Solution

The fourth proportional to 367,097.67, 506,599.71 and 205,943.10 is: 284,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,097.67 : 506,599.71 = 205,943.10 : x
  2. Step 2: Convert to fraction form
    367,097.67/506,599.71 = 205,943.10/x
  3. Step 3: Cross multiply
    367,097.67x = 506,599.71 × 205,943.10
  4. Step 4: Simplify right side
    367,097.67x = 104,330,714,736.50
  5. Step 5: Solve for x
    x = 104,330,714,736.50/367,097.67
  6. Step 6: Final answer
    x = 284,204.24

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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.