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Finding the Fourth Proportional to 872,520.05, 1,203,684.14 and 509,780.82

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Solution

The fourth proportional to 872,520.05, 1,203,684.14 and 509,780.82 is: 703,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,520.05 : 1,203,684.14 = 509,780.82 : x
  2. Step 2: Convert to fraction form
    872,520.05/1,203,684.14 = 509,780.82/x
  3. Step 3: Cross multiply
    872,520.05x = 1,203,684.14 × 509,780.82
  4. Step 4: Simplify right side
    872,520.05x = 613,615,079,958.01
  5. Step 5: Solve for x
    x = 613,615,079,958.01/872,520.05
  6. Step 6: Final answer
    x = 703,267.60

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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.