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Finding the Fourth Proportional to 872,307.96, 1,203,608.24 and 509,661.75

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Solution

The fourth proportional to 872,307.96, 1,203,608.24 and 509,661.75 is: 703,229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,307.96 : 1,203,608.24 = 509,661.75 : x
  2. Step 2: Convert to fraction form
    872,307.96/1,203,608.24 = 509,661.75/x
  3. Step 3: Cross multiply
    872,307.96x = 1,203,608.24 × 509,661.75
  4. Step 4: Simplify right side
    872,307.96x = 613,433,074,200.41
  5. Step 5: Solve for x
    x = 613,433,074,200.41/872,307.96
  6. Step 6: Final answer
    x = 703,229.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.