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Finding the Fourth Proportional to 511,217.32, 705,470.44 and 278,646.24

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Solution

The fourth proportional to 511,217.32, 705,470.44 and 278,646.24 is: 384,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,217.32 : 705,470.44 = 278,646.24 : x
  2. Step 2: Convert to fraction form
    511,217.32/705,470.44 = 278,646.24/x
  3. Step 3: Cross multiply
    511,217.32x = 705,470.44 × 278,646.24
  4. Step 4: Simplify right side
    511,217.32x = 196,576,685,537.15
  5. Step 5: Solve for x
    x = 196,576,685,537.15/511,217.32
  6. Step 6: Final answer
    x = 384,526.65

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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.