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Finding the Fourth Proportional to 511,758.66, 705,998.67 and 296,774.24

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Solution

The fourth proportional to 511,758.66, 705,998.67 and 296,774.24 is: 409,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,758.66 : 705,998.67 = 296,774.24 : x
  2. Step 2: Convert to fraction form
    511,758.66/705,998.67 = 296,774.24/x
  3. Step 3: Cross multiply
    511,758.66x = 705,998.67 × 296,774.24
  4. Step 4: Simplify right side
    511,758.66x = 209,522,215,200.27
  5. Step 5: Solve for x
    x = 209,522,215,200.27/511,758.66
  6. Step 6: Final answer
    x = 409,416.06

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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.