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Finding the Fourth Proportional to 457,588.10, 631,257.99 and 287,915.78

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Solution

The fourth proportional to 457,588.10, 631,257.99 and 287,915.78 is: 397,189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,588.10 : 631,257.99 = 287,915.78 : x
  2. Step 2: Convert to fraction form
    457,588.10/631,257.99 = 287,915.78/x
  3. Step 3: Cross multiply
    457,588.10x = 631,257.99 × 287,915.78
  4. Step 4: Simplify right side
    457,588.10x = 181,749,136,572.08
  5. Step 5: Solve for x
    x = 181,749,136,572.08/457,588.10
  6. Step 6: Final answer
    x = 397,189.39

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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.