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Finding the Fourth Proportional to 684,439.94, 944,643.66 and 398,126

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Solution

The fourth proportional to 684,439.94, 944,643.66 and 398,126 is: 549,481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,439.94 : 944,643.66 = 398,126 : x
  2. Step 2: Convert to fraction form
    684,439.94/944,643.66 = 398,126/x
  3. Step 3: Cross multiply
    684,439.94x = 944,643.66 × 398,126
  4. Step 4: Simplify right side
    684,439.94x = 376,087,201,781.16
  5. Step 5: Solve for x
    x = 376,087,201,781.16/684,439.94
  6. Step 6: Final answer
    x = 549,481.67

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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.