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Finding the Fourth Proportional to 565,713.86, 780,713.15 and 350,923.12

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Solution

The fourth proportional to 565,713.86, 780,713.15 and 350,923.12 is: 484,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,713.86 : 780,713.15 = 350,923.12 : x
  2. Step 2: Convert to fraction form
    565,713.86/780,713.15 = 350,923.12/x
  3. Step 3: Cross multiply
    565,713.86x = 780,713.15 × 350,923.12
  4. Step 4: Simplify right side
    565,713.86x = 273,970,290,716.63
  5. Step 5: Solve for x
    x = 273,970,290,716.63/565,713.86
  6. Step 6: Final answer
    x = 484,291.29

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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.