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Finding the Fourth Proportional to 370,296.14, 511,007.64 and 200,530.22

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Solution

The fourth proportional to 370,296.14, 511,007.64 and 200,530.22 is: 276,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,296.14 : 511,007.64 = 200,530.22 : x
  2. Step 2: Convert to fraction form
    370,296.14/511,007.64 = 200,530.22/x
  3. Step 3: Cross multiply
    370,296.14x = 511,007.64 × 200,530.22
  4. Step 4: Simplify right side
    370,296.14x = 102,472,474,470.88
  5. Step 5: Solve for x
    x = 102,472,474,470.88/370,296.14
  6. Step 6: Final answer
    x = 276,731.14

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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.