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Finding the Fourth Proportional to 415,150.74, 622,726.02 and 297,052.74

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Solution

The fourth proportional to 415,150.74, 622,726.02 and 297,052.74 is: 445,579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,150.74 : 622,726.02 = 297,052.74 : x
  2. Step 2: Convert to fraction form
    415,150.74/622,726.02 = 297,052.74/x
  3. Step 3: Cross multiply
    415,150.74x = 622,726.02 × 297,052.74
  4. Step 4: Simplify right side
    415,150.74x = 184,982,470,510.30
  5. Step 5: Solve for x
    x = 184,982,470,510.30/415,150.74
  6. Step 6: Final answer
    x = 445,579.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.