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Finding the Fourth Proportional to 476,433.16, 714,645.42 and 210,193.90

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Solution

The fourth proportional to 476,433.16, 714,645.42 and 210,193.90 is: 315,288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,433.16 : 714,645.42 = 210,193.90 : x
  2. Step 2: Convert to fraction form
    476,433.16/714,645.42 = 210,193.90/x
  3. Step 3: Cross multiply
    476,433.16x = 714,645.42 × 210,193.90
  4. Step 4: Simplify right side
    476,433.16x = 150,214,107,946.94
  5. Step 5: Solve for x
    x = 150,214,107,946.94/476,433.16
  6. Step 6: Final answer
    x = 315,288.94

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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.