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Finding the Fourth Proportional to 475,202.46, 712,803.42 and 443,709.66

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Solution

The fourth proportional to 475,202.46, 712,803.42 and 443,709.66 is: 665,564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,202.46 : 712,803.42 = 443,709.66 : x
  2. Step 2: Convert to fraction form
    475,202.46/712,803.42 = 443,709.66/x
  3. Step 3: Cross multiply
    475,202.46x = 712,803.42 × 443,709.66
  4. Step 4: Simplify right side
    475,202.46x = 316,277,763,135.04
  5. Step 5: Solve for x
    x = 316,277,763,135.04/475,202.46
  6. Step 6: Final answer
    x = 665,564.24

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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.