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Finding the Fourth Proportional to 370,503.75, 511,295.72 and 200,737.88

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Solution

The fourth proportional to 370,503.75, 511,295.72 and 200,737.88 is: 277,018.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,503.75 : 511,295.72 = 200,737.88 : x
  2. Step 2: Convert to fraction form
    370,503.75/511,295.72 = 200,737.88/x
  3. Step 3: Cross multiply
    370,503.75x = 511,295.72 × 200,737.88
  4. Step 4: Simplify right side
    370,503.75x = 102,636,415,325.71
  5. Step 5: Solve for x
    x = 102,636,415,325.71/370,503.75
  6. Step 6: Final answer
    x = 277,018.56

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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.