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Finding the Fourth Proportional to 507,364.65, 760,801.53 and 187,299.63

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Solution

The fourth proportional to 507,364.65, 760,801.53 and 187,299.63 is: 280,858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,364.65 : 760,801.53 = 187,299.63 : x
  2. Step 2: Convert to fraction form
    507,364.65/760,801.53 = 187,299.63/x
  3. Step 3: Cross multiply
    507,364.65x = 760,801.53 × 187,299.63
  4. Step 4: Simplify right side
    507,364.65x = 142,497,845,072.43
  5. Step 5: Solve for x
    x = 142,497,845,072.43/507,364.65
  6. Step 6: Final answer
    x = 280,858.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.