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Finding the Fourth Proportional to 543,120, 814,681.44 and 169,143.36

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Solution

The fourth proportional to 543,120, 814,681.44 and 169,143.36 is: 253,715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,120 : 814,681.44 = 169,143.36 : x
  2. Step 2: Convert to fraction form
    543,120/814,681.44 = 169,143.36/x
  3. Step 3: Cross multiply
    543,120x = 814,681.44 × 169,143.36
  4. Step 4: Simplify right side
    543,120x = 137,797,956,091.24
  5. Step 5: Solve for x
    x = 137,797,956,091.24/543,120
  6. Step 6: Final answer
    x = 253,715.49

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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.