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Finding the Fourth Proportional to 476,101.94, 714,463.94 and 226,803.38

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Solution

The fourth proportional to 476,101.94, 714,463.94 and 226,803.38 is: 340,353.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,101.94 : 714,463.94 = 226,803.38 : x
  2. Step 2: Convert to fraction form
    476,101.94/714,463.94 = 226,803.38/x
  3. Step 3: Cross multiply
    476,101.94x = 714,463.94 × 226,803.38
  4. Step 4: Simplify right side
    476,101.94x = 162,042,833,474.81
  5. Step 5: Solve for x
    x = 162,042,833,474.81/476,101.94
  6. Step 6: Final answer
    x = 340,353.23

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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.