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Finding the Fourth Proportional to 370,363, 511,100.96 and 200,598.36

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Solution

The fourth proportional to 370,363, 511,100.96 and 200,598.36 is: 276,825.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,363 : 511,100.96 = 200,598.36 : x
  2. Step 2: Convert to fraction form
    370,363/511,100.96 = 200,598.36/x
  3. Step 3: Cross multiply
    370,363x = 511,100.96 × 200,598.36
  4. Step 4: Simplify right side
    370,363x = 102,526,014,370.43
  5. Step 5: Solve for x
    x = 102,526,014,370.43/370,363
  6. Step 6: Final answer
    x = 276,825.75

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1.5x scale

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.