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Finding the Fourth Proportional to 285,953.70, 428,638.95 and 167,564.10

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Solution

The fourth proportional to 285,953.70, 428,638.95 and 167,564.10 is: 251,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,953.70 : 428,638.95 = 167,564.10 : x
  2. Step 2: Convert to fraction form
    285,953.70/428,638.95 = 167,564.10/x
  3. Step 3: Cross multiply
    285,953.70x = 428,638.95 × 167,564.10
  4. Step 4: Simplify right side
    285,953.70x = 71,824,499,881.70
  5. Step 5: Solve for x
    x = 71,824,499,881.70/285,953.70
  6. Step 6: Final answer
    x = 251,175.28

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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.