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Finding the Fourth Proportional to 365,164.70, 547,953.33 and 196,681.46

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Solution

The fourth proportional to 365,164.70, 547,953.33 and 196,681.46 is: 295,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,164.70 : 547,953.33 = 196,681.46 : x
  2. Step 2: Convert to fraction form
    365,164.70/547,953.33 = 196,681.46/x
  3. Step 3: Cross multiply
    365,164.70x = 547,953.33 × 196,681.46
  4. Step 4: Simplify right side
    365,164.70x = 107,772,260,956.26
  5. Step 5: Solve for x
    x = 107,772,260,956.26/365,164.70
  6. Step 6: Final answer
    x = 295,133.29

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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.