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Finding the Fourth Proportional to 1,784,849, 2,463,091.64 and 980,033

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Solution

The fourth proportional to 1,784,849, 2,463,091.64 and 980,033 is: 1,352,445.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,849 : 2,463,091.64 = 980,033 : x
  2. Step 2: Convert to fraction form
    1,784,849/2,463,091.64 = 980,033/x
  3. Step 3: Cross multiply
    1,784,849x = 2,463,091.64 × 980,033
  4. Step 4: Simplify right side
    1,784,849x = 2,413,911,089,224.12
  5. Step 5: Solve for x
    x = 2,413,911,089,224.12/1,784,849
  6. Step 6: Final answer
    x = 1,352,445.55

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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.