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Finding the Fourth Proportional to 464,722.34, 697,083.42 and 132,298.34

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Solution

The fourth proportional to 464,722.34, 697,083.42 and 132,298.34 is: 198,447.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,722.34 : 697,083.42 = 132,298.34 : x
  2. Step 2: Convert to fraction form
    464,722.34/697,083.42 = 132,298.34/x
  3. Step 3: Cross multiply
    464,722.34x = 697,083.42 × 132,298.34
  4. Step 4: Simplify right side
    464,722.34x = 92,222,979,307.52
  5. Step 5: Solve for x
    x = 92,222,979,307.52/464,722.34
  6. Step 6: Final answer
    x = 198,447.48

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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.