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Finding the Fourth Proportional to 1,428,478.07, 1,971,323.91 and 783,958.23

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Solution

The fourth proportional to 1,428,478.07, 1,971,323.91 and 783,958.23 is: 1,081,875.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,478.07 : 1,971,323.91 = 783,958.23 : x
  2. Step 2: Convert to fraction form
    1,428,478.07/1,971,323.91 = 783,958.23/x
  3. Step 3: Cross multiply
    1,428,478.07x = 1,971,323.91 × 783,958.23
  4. Step 4: Simplify right side
    1,428,478.07x = 1,545,435,603,240.28
  5. Step 5: Solve for x
    x = 1,545,435,603,240.28/1,428,478.07
  6. Step 6: Final answer
    x = 1,081,875.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.