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Finding the Fourth Proportional to 370,622.25, 511,460.53 and 200,856.38

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Solution

The fourth proportional to 370,622.25, 511,460.53 and 200,856.38 is: 277,182.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,622.25 : 511,460.53 = 200,856.38 : x
  2. Step 2: Convert to fraction form
    370,622.25/511,460.53 = 200,856.38/x
  3. Step 3: Cross multiply
    370,622.25x = 511,460.53 × 200,856.38
  4. Step 4: Simplify right side
    370,622.25x = 102,730,107,509.24
  5. Step 5: Solve for x
    x = 102,730,107,509.24/370,622.25
  6. Step 6: Final answer
    x = 277,182.79

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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.