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Finding the Fourth Proportional to 431,317.80, 646,976.70 and 431,317.80

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Solution

The fourth proportional to 431,317.80, 646,976.70 and 431,317.80 is: 646,976.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,317.80 : 646,976.70 = 431,317.80 : x
  2. Step 2: Convert to fraction form
    431,317.80/646,976.70 = 431,317.80/x
  3. Step 3: Cross multiply
    431,317.80x = 646,976.70 × 431,317.80
  4. Step 4: Simplify right side
    431,317.80x = 279,052,566,895.26
  5. Step 5: Solve for x
    x = 279,052,566,895.26/431,317.80
  6. Step 6: Final answer
    x = 646,976.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.