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Finding the Fourth Proportional to 370,496.63, 511,284.15 and 200,730.76

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Solution

The fourth proportional to 370,496.63, 511,284.15 and 200,730.76 is: 277,007.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,496.63 : 511,284.15 = 200,730.76 : x
  2. Step 2: Convert to fraction form
    370,496.63/511,284.15 = 200,730.76/x
  3. Step 3: Cross multiply
    370,496.63x = 511,284.15 × 200,730.76
  4. Step 4: Simplify right side
    370,496.63x = 102,630,454,727.24
  5. Step 5: Solve for x
    x = 102,630,454,727.24/370,496.63
  6. Step 6: Final answer
    x = 277,007.79

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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.