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Finding the Fourth Proportional to 1,696,794.77, 2,541,784.35 and 784,698.77

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Solution

The fourth proportional to 1,696,794.77, 2,541,784.35 and 784,698.77 is: 1,175,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,794.77 : 2,541,784.35 = 784,698.77 : x
  2. Step 2: Convert to fraction form
    1,696,794.77/2,541,784.35 = 784,698.77/x
  3. Step 3: Cross multiply
    1,696,794.77x = 2,541,784.35 × 784,698.77
  4. Step 4: Simplify right side
    1,696,794.77x = 1,994,535,040,341.33
  5. Step 5: Solve for x
    x = 1,994,535,040,341.33/1,696,794.77
  6. Step 6: Final answer
    x = 1,175,472.18

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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.