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Finding the Fourth Proportional to 902,843.70, 1,353,871.84 and 341,484.54

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Solution

The fourth proportional to 902,843.70, 1,353,871.84 and 341,484.54 is: 512,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,843.70 : 1,353,871.84 = 341,484.54 : x
  2. Step 2: Convert to fraction form
    902,843.70/1,353,871.84 = 341,484.54/x
  3. Step 3: Cross multiply
    902,843.70x = 1,353,871.84 × 341,484.54
  4. Step 4: Simplify right side
    902,843.70x = 462,326,294,878.28
  5. Step 5: Solve for x
    x = 462,326,294,878.28/902,843.70
  6. Step 6: Final answer
    x = 512,077.89

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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.