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Finding the Fourth Proportional to 417,060.54, 576,021.78 and 274,457.16

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Solution

The fourth proportional to 417,060.54, 576,021.78 and 274,457.16 is: 379,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,060.54 : 576,021.78 = 274,457.16 : x
  2. Step 2: Convert to fraction form
    417,060.54/576,021.78 = 274,457.16/x
  3. Step 3: Cross multiply
    417,060.54x = 576,021.78 × 274,457.16
  4. Step 4: Simplify right side
    417,060.54x = 158,093,301,836.95
  5. Step 5: Solve for x
    x = 158,093,301,836.95/417,060.54
  6. Step 6: Final answer
    x = 379,065.60

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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.