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Finding the Fourth Proportional to 685,728.40, 957,657.80 and 685,728.40

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Solution

The fourth proportional to 685,728.40, 957,657.80 and 685,728.40 is: 957,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,728.40 : 957,657.80 = 685,728.40 : x
  2. Step 2: Convert to fraction form
    685,728.40/957,657.80 = 685,728.40/x
  3. Step 3: Cross multiply
    685,728.40x = 957,657.80 × 685,728.40
  4. Step 4: Simplify right side
    685,728.40x = 656,693,150,941.52
  5. Step 5: Solve for x
    x = 656,693,150,941.52/685,728.40
  6. Step 6: Final answer
    x = 957,657.80

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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.