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Finding the Fourth Proportional to 287,872.24, 397,573.53 and 219,156.16

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Solution

The fourth proportional to 287,872.24, 397,573.53 and 219,156.16 is: 302,671.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,872.24 : 397,573.53 = 219,156.16 : x
  2. Step 2: Convert to fraction form
    287,872.24/397,573.53 = 219,156.16/x
  3. Step 3: Cross multiply
    287,872.24x = 397,573.53 × 219,156.16
  4. Step 4: Simplify right side
    287,872.24x = 87,130,688,152.44
  5. Step 5: Solve for x
    x = 87,130,688,152.44/287,872.24
  6. Step 6: Final answer
    x = 302,671.38

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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.