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Finding the Fourth Proportional to 284,056.17, 426,083.72 and 165,644.48

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Solution

The fourth proportional to 284,056.17, 426,083.72 and 165,644.48 is: 248,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,056.17 : 426,083.72 = 165,644.48 : x
  2. Step 2: Convert to fraction form
    284,056.17/426,083.72 = 165,644.48/x
  3. Step 3: Cross multiply
    284,056.17x = 426,083.72 × 165,644.48
  4. Step 4: Simplify right side
    284,056.17x = 70,578,413,277.22
  5. Step 5: Solve for x
    x = 70,578,413,277.22/284,056.17
  6. Step 6: Final answer
    x = 248,466.40

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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.