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Finding the Fourth Proportional to 519,100.81, 716,252.16 and 298,295.40

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Solution

The fourth proportional to 519,100.81, 716,252.16 and 298,295.40 is: 411,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,100.81 : 716,252.16 = 298,295.40 : x
  2. Step 2: Convert to fraction form
    519,100.81/716,252.16 = 298,295.40/x
  3. Step 3: Cross multiply
    519,100.81x = 716,252.16 × 298,295.40
  4. Step 4: Simplify right side
    519,100.81x = 213,654,728,372.62
  5. Step 5: Solve for x
    x = 213,654,728,372.62/519,100.81
  6. Step 6: Final answer
    x = 411,586.20

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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.