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Finding the Fourth Proportional to 1,971,919.14, 2,958,048.09 and 692,416.64

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Solution

The fourth proportional to 1,971,919.14, 2,958,048.09 and 692,416.64 is: 1,038,684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,919.14 : 2,958,048.09 = 692,416.64 : x
  2. Step 2: Convert to fraction form
    1,971,919.14/2,958,048.09 = 692,416.64/x
  3. Step 3: Cross multiply
    1,971,919.14x = 2,958,048.09 × 692,416.64
  4. Step 4: Simplify right side
    1,971,919.14x = 2,048,201,704,645.98
  5. Step 5: Solve for x
    x = 2,048,201,704,645.98/1,971,919.14
  6. Step 6: Final answer
    x = 1,038,684.43

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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.