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Finding the Fourth Proportional to 820,194.15, 1,230,291.23 and 820,194.15

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Solution

The fourth proportional to 820,194.15, 1,230,291.23 and 820,194.15 is: 1,230,291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,194.15 : 1,230,291.23 = 820,194.15 : x
  2. Step 2: Convert to fraction form
    820,194.15/1,230,291.23 = 820,194.15/x
  3. Step 3: Cross multiply
    820,194.15x = 1,230,291.23 × 820,194.15
  4. Step 4: Simplify right side
    820,194.15x = 1,009,077,665,541.33
  5. Step 5: Solve for x
    x = 1,009,077,665,541.33/820,194.15
  6. Step 6: Final answer
    x = 1,230,291.23

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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.