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Finding the Fourth Proportional to 361,176.85, 498,417.96 and 200,038.69

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Solution

The fourth proportional to 361,176.85, 498,417.96 and 200,038.69 is: 276,050.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,176.85 : 498,417.96 = 200,038.69 : x
  2. Step 2: Convert to fraction form
    361,176.85/498,417.96 = 200,038.69/x
  3. Step 3: Cross multiply
    361,176.85x = 498,417.96 × 200,038.69
  4. Step 4: Simplify right side
    361,176.85x = 99,702,875,790.87
  5. Step 5: Solve for x
    x = 99,702,875,790.87/361,176.85
  6. Step 6: Final answer
    x = 276,050.02

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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.