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Finding the Fourth Proportional to 416,472.36, 574,633 and 253,126.01

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Solution

The fourth proportional to 416,472.36, 574,633 and 253,126.01 is: 349,253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,472.36 : 574,633 = 253,126.01 : x
  2. Step 2: Convert to fraction form
    416,472.36/574,633 = 253,126.01/x
  3. Step 3: Cross multiply
    416,472.36x = 574,633 × 253,126.01
  4. Step 4: Simplify right side
    416,472.36x = 145,454,558,504.33
  5. Step 5: Solve for x
    x = 145,454,558,504.33/416,472.36
  6. Step 6: Final answer
    x = 349,253.81

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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.