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Finding the Fourth Proportional to 385,821.94, 532,383.79 and 222,484.48

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Solution

The fourth proportional to 385,821.94, 532,383.79 and 222,484.48 is: 306,999.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,821.94 : 532,383.79 = 222,484.48 : x
  2. Step 2: Convert to fraction form
    385,821.94/532,383.79 = 222,484.48/x
  3. Step 3: Cross multiply
    385,821.94x = 532,383.79 × 222,484.48
  4. Step 4: Simplify right side
    385,821.94x = 118,447,130,678.58
  5. Step 5: Solve for x
    x = 118,447,130,678.58/385,821.94
  6. Step 6: Final answer
    x = 306,999.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.