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Finding the Fourth Proportional to 519,103.84, 716,256.33 and 298,298.43

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Solution

The fourth proportional to 519,103.84, 716,256.33 and 298,298.43 is: 411,590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,103.84 : 716,256.33 = 298,298.43 : x
  2. Step 2: Convert to fraction form
    519,103.84/716,256.33 = 298,298.43/x
  3. Step 3: Cross multiply
    519,103.84x = 716,256.33 × 298,298.43
  4. Step 4: Simplify right side
    519,103.84x = 213,658,140,059.54
  5. Step 5: Solve for x
    x = 213,658,140,059.54/519,103.84
  6. Step 6: Final answer
    x = 411,590.37

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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.