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Finding the Fourth Proportional to 476,243.40, 714,269.90 and 223,458.86

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Solution

The fourth proportional to 476,243.40, 714,269.90 and 223,458.86 is: 335,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,243.40 : 714,269.90 = 223,458.86 : x
  2. Step 2: Convert to fraction form
    476,243.40/714,269.90 = 223,458.86/x
  3. Step 3: Cross multiply
    476,243.40x = 714,269.90 × 223,458.86
  4. Step 4: Simplify right side
    476,243.40x = 159,609,937,586.31
  5. Step 5: Solve for x
    x = 159,609,937,586.31/476,243.40
  6. Step 6: Final answer
    x = 335,143.62

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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.