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Finding the Fourth Proportional to 644,323.34, 966,518.36 and 164,555.61

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Solution

The fourth proportional to 644,323.34, 966,518.36 and 164,555.61 is: 246,841.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,323.34 : 966,518.36 = 164,555.61 : x
  2. Step 2: Convert to fraction form
    644,323.34/966,518.36 = 164,555.61/x
  3. Step 3: Cross multiply
    644,323.34x = 966,518.36 × 164,555.61
  4. Step 4: Simplify right side
    644,323.34x = 159,046,017,483.22
  5. Step 5: Solve for x
    x = 159,046,017,483.22/644,323.34
  6. Step 6: Final answer
    x = 246,841.93

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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.