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Finding the Fourth Proportional to 370,522.62, 511,321.35 and 200,756.75

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Solution

The fourth proportional to 370,522.62, 511,321.35 and 200,756.75 is: 277,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,522.62 : 511,321.35 = 200,756.75 : x
  2. Step 2: Convert to fraction form
    370,522.62/511,321.35 = 200,756.75/x
  3. Step 3: Cross multiply
    370,522.62x = 511,321.35 × 200,756.75
  4. Step 4: Simplify right side
    370,522.62x = 102,651,209,875.01
  5. Step 5: Solve for x
    x = 102,651,209,875.01/370,522.62
  6. Step 6: Final answer
    x = 277,044.38

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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.