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Finding the Fourth Proportional to 511,012.10, 705,191.05 and 290,247.84

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Solution

The fourth proportional to 511,012.10, 705,191.05 and 290,247.84 is: 400,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,012.10 : 705,191.05 = 290,247.84 : x
  2. Step 2: Convert to fraction form
    511,012.10/705,191.05 = 290,247.84/x
  3. Step 3: Cross multiply
    511,012.10x = 705,191.05 × 290,247.84
  4. Step 4: Simplify right side
    511,012.10x = 204,680,181,356.21
  5. Step 5: Solve for x
    x = 204,680,181,356.21/511,012.10
  6. Step 6: Final answer
    x = 400,538.81

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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.