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Finding the Fourth Proportional to 1,189,266.64, 1,641,200 and 645,407.14

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Solution

The fourth proportional to 1,189,266.64, 1,641,200 and 645,407.14 is: 890,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,266.64 : 1,641,200 = 645,407.14 : x
  2. Step 2: Convert to fraction form
    1,189,266.64/1,641,200 = 645,407.14/x
  3. Step 3: Cross multiply
    1,189,266.64x = 1,641,200 × 645,407.14
  4. Step 4: Simplify right side
    1,189,266.64x = 1,059,242,198,168
  5. Step 5: Solve for x
    x = 1,059,242,198,168/1,189,266.64
  6. Step 6: Final answer
    x = 890,668.39

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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.