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Finding the Fourth Proportional to 417,597.36, 576,284.88 and 226,614

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Solution

The fourth proportional to 417,597.36, 576,284.88 and 226,614 is: 312,727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,597.36 : 576,284.88 = 226,614 : x
  2. Step 2: Convert to fraction form
    417,597.36/576,284.88 = 226,614/x
  3. Step 3: Cross multiply
    417,597.36x = 576,284.88 × 226,614
  4. Step 4: Simplify right side
    417,597.36x = 130,594,221,796.32
  5. Step 5: Solve for x
    x = 130,594,221,796.32/417,597.36
  6. Step 6: Final answer
    x = 312,727.60

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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.