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Finding the Fourth Proportional to 1,322,567.16, 1,984,412.43 and 722,827.64

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Solution

The fourth proportional to 1,322,567.16, 1,984,412.43 and 722,827.64 is: 1,084,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322,567.16 : 1,984,412.43 = 722,827.64 : x
  2. Step 2: Convert to fraction form
    1,322,567.16/1,984,412.43 = 722,827.64/x
  3. Step 3: Cross multiply
    1,322,567.16x = 1,984,412.43 × 722,827.64
  4. Step 4: Simplify right side
    1,322,567.16x = 1,434,388,143,641.50
  5. Step 5: Solve for x
    x = 1,434,388,143,641.50/1,322,567.16
  6. Step 6: Final answer
    x = 1,084,548.44

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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.