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Finding the Fourth Proportional to 415,820.84, 573,831.97 and 234,532.22

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Solution

The fourth proportional to 415,820.84, 573,831.97 and 234,532.22 is: 323,654.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,820.84 : 573,831.97 = 234,532.22 : x
  2. Step 2: Convert to fraction form
    415,820.84/573,831.97 = 234,532.22/x
  3. Step 3: Cross multiply
    415,820.84x = 573,831.97 × 234,532.22
  4. Step 4: Simplify right side
    415,820.84x = 134,582,082,375.58
  5. Step 5: Solve for x
    x = 134,582,082,375.58/415,820.84
  6. Step 6: Final answer
    x = 323,654.01

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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.