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Finding the Fourth Proportional to 370,700.56, 511,566.99 and 200,934.68

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Solution

The fourth proportional to 370,700.56, 511,566.99 and 200,934.68 is: 277,289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,700.56 : 511,566.99 = 200,934.68 : x
  2. Step 2: Convert to fraction form
    370,700.56/511,566.99 = 200,934.68/x
  3. Step 3: Cross multiply
    370,700.56x = 511,566.99 × 200,934.68
  4. Step 4: Simplify right side
    370,700.56x = 102,791,549,434.21
  5. Step 5: Solve for x
    x = 102,791,549,434.21/370,700.56
  6. Step 6: Final answer
    x = 277,289.98

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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.