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Finding the Fourth Proportional to 367,644.90, 507,319.64 and 204,306.22

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Solution

The fourth proportional to 367,644.90, 507,319.64 and 204,306.22 is: 281,925.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,644.90 : 507,319.64 = 204,306.22 : x
  2. Step 2: Convert to fraction form
    367,644.90/507,319.64 = 204,306.22/x
  3. Step 3: Cross multiply
    367,644.90x = 507,319.64 × 204,306.22
  4. Step 4: Simplify right side
    367,644.90x = 103,648,557,980.16
  5. Step 5: Solve for x
    x = 103,648,557,980.16/367,644.90
  6. Step 6: Final answer
    x = 281,925.73

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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.