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Finding the Fourth Proportional to 456,923, 685,417.44 and 141,339.44

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Solution

The fourth proportional to 456,923, 685,417.44 and 141,339.44 is: 212,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,923 : 685,417.44 = 141,339.44 : x
  2. Step 2: Convert to fraction form
    456,923/685,417.44 = 141,339.44/x
  3. Step 3: Cross multiply
    456,923x = 685,417.44 × 141,339.44
  4. Step 4: Simplify right side
    456,923x = 96,876,517,135.83
  5. Step 5: Solve for x
    x = 96,876,517,135.83/456,923
  6. Step 6: Final answer
    x = 212,019.35

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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.