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Finding the Fourth Proportional to 511,586.97, 767,400.71 and 191,705.42

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Solution

The fourth proportional to 511,586.97, 767,400.71 and 191,705.42 is: 287,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,586.97 : 767,400.71 = 191,705.42 : x
  2. Step 2: Convert to fraction form
    511,586.97/767,400.71 = 191,705.42/x
  3. Step 3: Cross multiply
    511,586.97x = 767,400.71 × 191,705.42
  4. Step 4: Simplify right side
    511,586.97x = 147,114,870,623.32
  5. Step 5: Solve for x
    x = 147,114,870,623.32/511,586.97
  6. Step 6: Final answer
    x = 287,565.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.