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Finding the Fourth Proportional to 684,216, 944,188.38 and 374,112.90

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Solution

The fourth proportional to 684,216, 944,188.38 and 374,112.90 is: 516,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,216 : 944,188.38 = 374,112.90 : x
  2. Step 2: Convert to fraction form
    684,216/944,188.38 = 374,112.90/x
  3. Step 3: Cross multiply
    684,216x = 944,188.38 × 374,112.90
  4. Step 4: Simplify right side
    684,216x = 353,233,052,988.10
  5. Step 5: Solve for x
    x = 353,233,052,988.10/684,216
  6. Step 6: Final answer
    x = 516,259.56

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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.