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Finding the Fourth Proportional to 404,644.65, 565,452.75 and 404,644.65

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Solution

The fourth proportional to 404,644.65, 565,452.75 and 404,644.65 is: 565,452.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,644.65 : 565,452.75 = 404,644.65 : x
  2. Step 2: Convert to fraction form
    404,644.65/565,452.75 = 404,644.65/x
  3. Step 3: Cross multiply
    404,644.65x = 565,452.75 × 404,644.65
  4. Step 4: Simplify right side
    404,644.65x = 228,807,430,115.29
  5. Step 5: Solve for x
    x = 228,807,430,115.29/404,644.65
  6. Step 6: Final answer
    x = 565,452.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.