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Finding the Fourth Proportional to 336,006.86, 463,689.24 and 185,103.86

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Solution

The fourth proportional to 336,006.86, 463,689.24 and 185,103.86 is: 255,443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,006.86 : 463,689.24 = 185,103.86 : x
  2. Step 2: Convert to fraction form
    336,006.86/463,689.24 = 185,103.86/x
  3. Step 3: Cross multiply
    336,006.86x = 463,689.24 × 185,103.86
  4. Step 4: Simplify right side
    336,006.86x = 85,830,665,846.02
  5. Step 5: Solve for x
    x = 85,830,665,846.02/336,006.86
  6. Step 6: Final answer
    x = 255,443.20

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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.