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Finding the Fourth Proportional to 687,534.24, 948,807.36 and 381,630.33

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Solution

The fourth proportional to 687,534.24, 948,807.36 and 381,630.33 is: 526,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,534.24 : 948,807.36 = 381,630.33 : x
  2. Step 2: Convert to fraction form
    687,534.24/948,807.36 = 381,630.33/x
  3. Step 3: Cross multiply
    687,534.24x = 948,807.36 × 381,630.33
  4. Step 4: Simplify right side
    687,534.24x = 362,093,665,903.23
  5. Step 5: Solve for x
    x = 362,093,665,903.23/687,534.24
  6. Step 6: Final answer
    x = 526,655.47

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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.