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Finding the Fourth Proportional to 476,014.71, 713,672.15 and 226,871.67

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Solution

The fourth proportional to 476,014.71, 713,672.15 and 226,871.67 is: 340,140.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,014.71 : 713,672.15 = 226,871.67 : x
  2. Step 2: Convert to fraction form
    476,014.71/713,672.15 = 226,871.67/x
  3. Step 3: Cross multiply
    476,014.71x = 713,672.15 × 226,871.67
  4. Step 4: Simplify right side
    476,014.71x = 161,911,991,368.63
  5. Step 5: Solve for x
    x = 161,911,991,368.63/476,014.71
  6. Step 6: Final answer
    x = 340,140.73

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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.