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Finding the Fourth Proportional to 312,689.66, 469,029.47 and 99,454.47

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Solution

The fourth proportional to 312,689.66, 469,029.47 and 99,454.47 is: 149,180.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,689.66 : 469,029.47 = 99,454.47 : x
  2. Step 2: Convert to fraction form
    312,689.66/469,029.47 = 99,454.47/x
  3. Step 3: Cross multiply
    312,689.66x = 469,029.47 × 99,454.47
  4. Step 4: Simplify right side
    312,689.66x = 46,647,076,855.96
  5. Step 5: Solve for x
    x = 46,647,076,855.96/312,689.66
  6. Step 6: Final answer
    x = 149,180.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.