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Finding the Fourth Proportional to 415,522.22, 573,637.46 and 294,951.54

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Solution

The fourth proportional to 415,522.22, 573,637.46 and 294,951.54 is: 407,187.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,522.22 : 573,637.46 = 294,951.54 : x
  2. Step 2: Convert to fraction form
    415,522.22/573,637.46 = 294,951.54/x
  3. Step 3: Cross multiply
    415,522.22x = 573,637.46 × 294,951.54
  4. Step 4: Simplify right side
    415,522.22x = 169,195,252,966.07
  5. Step 5: Solve for x
    x = 169,195,252,966.07/415,522.22
  6. Step 6: Final answer
    x = 407,187.02

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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.