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Finding the Fourth Proportional to 871,995.86, 1,203,683.11 and 509,537.51

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Solution

The fourth proportional to 871,995.86, 1,203,683.11 and 509,537.51 is: 703,353.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,995.86 : 1,203,683.11 = 509,537.51 : x
  2. Step 2: Convert to fraction form
    871,995.86/1,203,683.11 = 509,537.51/x
  3. Step 3: Cross multiply
    871,995.86x = 1,203,683.11 × 509,537.51
  4. Step 4: Simplify right side
    871,995.86x = 613,321,696,738.44
  5. Step 5: Solve for x
    x = 613,321,696,738.44/871,995.86
  6. Step 6: Final answer
    x = 703,353.91

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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.