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Finding the Fourth Proportional to 271,407.72, 407,362.14 and 195,585

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Solution

The fourth proportional to 271,407.72, 407,362.14 and 195,585 is: 293,558.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,407.72 : 407,362.14 = 195,585 : x
  2. Step 2: Convert to fraction form
    271,407.72/407,362.14 = 195,585/x
  3. Step 3: Cross multiply
    271,407.72x = 407,362.14 × 195,585
  4. Step 4: Simplify right side
    271,407.72x = 79,673,924,151.90
  5. Step 5: Solve for x
    x = 79,673,924,151.90/271,407.72
  6. Step 6: Final answer
    x = 293,558.06

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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.