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Finding the Fourth Proportional to 590,554, 814,964.52 and 322,282

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Solution

The fourth proportional to 590,554, 814,964.52 and 322,282 is: 444,749.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,554 : 814,964.52 = 322,282 : x
  2. Step 2: Convert to fraction form
    590,554/814,964.52 = 322,282/x
  3. Step 3: Cross multiply
    590,554x = 814,964.52 × 322,282
  4. Step 4: Simplify right side
    590,554x = 262,648,395,434.64
  5. Step 5: Solve for x
    x = 262,648,395,434.64/590,554
  6. Step 6: Final answer
    x = 444,749.16

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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.