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Finding the Fourth Proportional to 507,466.44, 699,580.26 and 364,180.68

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Solution

The fourth proportional to 507,466.44, 699,580.26 and 364,180.68 is: 502,050.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,466.44 : 699,580.26 = 364,180.68 : x
  2. Step 2: Convert to fraction form
    507,466.44/699,580.26 = 364,180.68/x
  3. Step 3: Cross multiply
    507,466.44x = 699,580.26 × 364,180.68
  4. Step 4: Simplify right side
    507,466.44x = 254,773,614,801.38
  5. Step 5: Solve for x
    x = 254,773,614,801.38/507,466.44
  6. Step 6: Final answer
    x = 502,050.17

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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.