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Finding the Fourth Proportional to 684,435.94, 944,638.14 and 398,122

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Solution

The fourth proportional to 684,435.94, 944,638.14 and 398,122 is: 549,476.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,435.94 : 944,638.14 = 398,122 : x
  2. Step 2: Convert to fraction form
    684,435.94/944,638.14 = 398,122/x
  3. Step 3: Cross multiply
    684,435.94x = 944,638.14 × 398,122
  4. Step 4: Simplify right side
    684,435.94x = 376,081,225,573.08
  5. Step 5: Solve for x
    x = 376,081,225,573.08/684,435.94
  6. Step 6: Final answer
    x = 549,476.15

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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.