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Finding the Fourth Proportional to 600,137.94, 828,491.51 and 463,863.92

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Solution

The fourth proportional to 600,137.94, 828,491.51 and 463,863.92 is: 640,364.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,137.94 : 828,491.51 = 463,863.92 : x
  2. Step 2: Convert to fraction form
    600,137.94/828,491.51 = 463,863.92/x
  3. Step 3: Cross multiply
    600,137.94x = 828,491.51 × 463,863.92
  4. Step 4: Simplify right side
    600,137.94x = 384,307,322,746.21
  5. Step 5: Solve for x
    x = 384,307,322,746.21/600,137.94
  6. Step 6: Final answer
    x = 640,364.98

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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.