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Finding the Fourth Proportional to 516,782.06, 713,081.12 and 295,984.94

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Solution

The fourth proportional to 516,782.06, 713,081.12 and 295,984.94 is: 408,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,782.06 : 713,081.12 = 295,984.94 : x
  2. Step 2: Convert to fraction form
    516,782.06/713,081.12 = 295,984.94/x
  3. Step 3: Cross multiply
    516,782.06x = 713,081.12 × 295,984.94
  4. Step 4: Simplify right side
    516,782.06x = 211,061,272,518.33
  5. Step 5: Solve for x
    x = 211,061,272,518.33/516,782.06
  6. Step 6: Final answer
    x = 408,414.47

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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.