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Finding the Fourth Proportional to 416,065.04, 574,169.28 and 225,078

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Solution

The fourth proportional to 416,065.04, 574,169.28 and 225,078 is: 310,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,065.04 : 574,169.28 = 225,078 : x
  2. Step 2: Convert to fraction form
    416,065.04/574,169.28 = 225,078/x
  3. Step 3: Cross multiply
    416,065.04x = 574,169.28 × 225,078
  4. Step 4: Simplify right side
    416,065.04x = 129,232,873,203.84
  5. Step 5: Solve for x
    x = 129,232,873,203.84/416,065.04
  6. Step 6: Final answer
    x = 310,607.38

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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.