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Finding the Fourth Proportional to 820,409.40, 1,145,773.80 and 820,409.40

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Solution

The fourth proportional to 820,409.40, 1,145,773.80 and 820,409.40 is: 1,145,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,409.40 : 1,145,773.80 = 820,409.40 : x
  2. Step 2: Convert to fraction form
    820,409.40/1,145,773.80 = 820,409.40/x
  3. Step 3: Cross multiply
    820,409.40x = 1,145,773.80 × 820,409.40
  4. Step 4: Simplify right side
    820,409.40x = 940,003,595,793.72
  5. Step 5: Solve for x
    x = 940,003,595,793.72/820,409.40
  6. Step 6: Final answer
    x = 1,145,773.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.