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Finding the Fourth Proportional to 727,872, 1,004,470.56 and 426,072.48

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Solution

The fourth proportional to 727,872, 1,004,470.56 and 426,072.48 is: 587,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,872 : 1,004,470.56 = 426,072.48 : x
  2. Step 2: Convert to fraction form
    727,872/1,004,470.56 = 426,072.48/x
  3. Step 3: Cross multiply
    727,872x = 1,004,470.56 × 426,072.48
  4. Step 4: Simplify right side
    727,872x = 427,977,262,586.19
  5. Step 5: Solve for x
    x = 427,977,262,586.19/727,872
  6. Step 6: Final answer
    x = 587,984.24

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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.