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Finding the Fourth Proportional to 476,434.56, 713,717.52 and 276,334.56

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Solution

The fourth proportional to 476,434.56, 713,717.52 and 276,334.56 is: 413,959.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,434.56 : 713,717.52 = 276,334.56 : x
  2. Step 2: Convert to fraction form
    476,434.56/713,717.52 = 276,334.56/x
  3. Step 3: Cross multiply
    476,434.56x = 713,717.52 × 276,334.56
  4. Step 4: Simplify right side
    476,434.56x = 197,224,816,853.49
  5. Step 5: Solve for x
    x = 197,224,816,853.49/476,434.56
  6. Step 6: Final answer
    x = 413,959.93

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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.