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Finding the Fourth Proportional to 1,282,828.52, 1,923,674.13 and 683,678.00

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Solution

The fourth proportional to 1,282,828.52, 1,923,674.13 and 683,678.00 is: 1,025,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,828.52 : 1,923,674.13 = 683,678.00 : x
  2. Step 2: Convert to fraction form
    1,282,828.52/1,923,674.13 = 683,678.00/x
  3. Step 3: Cross multiply
    1,282,828.52x = 1,923,674.13 × 683,678.00
  4. Step 4: Simplify right side
    1,282,828.52x = 1,315,173,686,659.33
  5. Step 5: Solve for x
    x = 1,315,173,686,659.33/1,282,828.52
  6. Step 6: Final answer
    x = 1,025,213.94

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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.