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Finding the Fourth Proportional to 302,598, 417,445.11 and 195,202.67

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Solution

The fourth proportional to 302,598, 417,445.11 and 195,202.67 is: 269,289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,598 : 417,445.11 = 195,202.67 : x
  2. Step 2: Convert to fraction form
    302,598/417,445.11 = 195,202.67/x
  3. Step 3: Cross multiply
    302,598x = 417,445.11 × 195,202.67
  4. Step 4: Simplify right side
    302,598x = 81,486,397,963.22
  5. Step 5: Solve for x
    x = 81,486,397,963.22/302,598
  6. Step 6: Final answer
    x = 269,289.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.