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Finding the Fourth Proportional to 417,047.00, 576,003.15 and 274,443.66

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Solution

The fourth proportional to 417,047.00, 576,003.15 and 274,443.66 is: 379,047.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,047.00 : 576,003.15 = 274,443.66 : x
  2. Step 2: Convert to fraction form
    417,047.00/576,003.15 = 274,443.66/x
  3. Step 3: Cross multiply
    417,047.00x = 576,003.15 × 274,443.66
  4. Step 4: Simplify right side
    417,047.00x = 158,080,412,657.53
  5. Step 5: Solve for x
    x = 158,080,412,657.53/417,047.00
  6. Step 6: Final answer
    x = 379,047.00

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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.