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Finding the Fourth Proportional to 713,021.64, 1,068,812.80 and 446,969

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Solution

The fourth proportional to 713,021.64, 1,068,812.80 and 446,969 is: 670,002.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,021.64 : 1,068,812.80 = 446,969 : x
  2. Step 2: Convert to fraction form
    713,021.64/1,068,812.80 = 446,969/x
  3. Step 3: Cross multiply
    713,021.64x = 1,068,812.80 × 446,969
  4. Step 4: Simplify right side
    713,021.64x = 477,726,188,403.20
  5. Step 5: Solve for x
    x = 477,726,188,403.20/713,021.64
  6. Step 6: Final answer
    x = 670,002.37

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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.