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Finding the Fourth Proportional to 519,191.46, 716,808.54 and 398,100.10

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Solution

The fourth proportional to 519,191.46, 716,808.54 and 398,100.10 is: 549,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,191.46 : 716,808.54 = 398,100.10 : x
  2. Step 2: Convert to fraction form
    519,191.46/716,808.54 = 398,100.10/x
  3. Step 3: Cross multiply
    519,191.46x = 716,808.54 × 398,100.10
  4. Step 4: Simplify right side
    519,191.46x = 285,361,551,454.85
  5. Step 5: Solve for x
    x = 285,361,551,454.85/519,191.46
  6. Step 6: Final answer
    x = 549,626.82

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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.