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Finding the Fourth Proportional to 417,758.84, 576,507.93 and 226,772.36

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Solution

The fourth proportional to 417,758.84, 576,507.93 and 226,772.36 is: 312,946.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,758.84 : 576,507.93 = 226,772.36 : x
  2. Step 2: Convert to fraction form
    417,758.84/576,507.93 = 226,772.36/x
  3. Step 3: Cross multiply
    417,758.84x = 576,507.93 × 226,772.36
  4. Step 4: Simplify right side
    417,758.84x = 130,736,063,844.82
  5. Step 5: Solve for x
    x = 130,736,063,844.82/417,758.84
  6. Step 6: Final answer
    x = 312,946.25

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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.