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Finding the Fourth Proportional to 361,094.24, 498,829.11 and 288,401.69

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Solution

The fourth proportional to 361,094.24, 498,829.11 and 288,401.69 is: 398,408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,094.24 : 498,829.11 = 288,401.69 : x
  2. Step 2: Convert to fraction form
    361,094.24/498,829.11 = 288,401.69/x
  3. Step 3: Cross multiply
    361,094.24x = 498,829.11 × 288,401.69
  4. Step 4: Simplify right side
    361,094.24x = 143,863,158,345.20
  5. Step 5: Solve for x
    x = 143,863,158,345.20/361,094.24
  6. Step 6: Final answer
    x = 398,408.90

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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.