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Finding the Fourth Proportional to 382,305, 527,594.44 and 210,236.08

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Solution

The fourth proportional to 382,305, 527,594.44 and 210,236.08 is: 290,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,305 : 527,594.44 = 210,236.08 : x
  2. Step 2: Convert to fraction form
    382,305/527,594.44 = 210,236.08/x
  3. Step 3: Cross multiply
    382,305x = 527,594.44 × 210,236.08
  4. Step 4: Simplify right side
    382,305x = 110,919,386,895.40
  5. Step 5: Solve for x
    x = 110,919,386,895.40/382,305
  6. Step 6: Final answer
    x = 290,133.24

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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.