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Finding the Fourth Proportional to 367,094.67, 506,595.57 and 205,940.10

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Solution

The fourth proportional to 367,094.67, 506,595.57 and 205,940.10 is: 284,200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,094.67 : 506,595.57 = 205,940.10 : x
  2. Step 2: Convert to fraction form
    367,094.67/506,595.57 = 205,940.10/x
  3. Step 3: Cross multiply
    367,094.67x = 506,595.57 × 205,940.10
  4. Step 4: Simplify right side
    367,094.67x = 104,328,342,345.36
  5. Step 5: Solve for x
    x = 104,328,342,345.36/367,094.67
  6. Step 6: Final answer
    x = 284,200.10

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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.