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Finding the Fourth Proportional to 463,052.64, 640,181.85 and 342,002.19

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Solution

The fourth proportional to 463,052.64, 640,181.85 and 342,002.19 is: 472,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,052.64 : 640,181.85 = 342,002.19 : x
  2. Step 2: Convert to fraction form
    463,052.64/640,181.85 = 342,002.19/x
  3. Step 3: Cross multiply
    463,052.64x = 640,181.85 × 342,002.19
  4. Step 4: Simplify right side
    463,052.64x = 218,943,594,698.25
  5. Step 5: Solve for x
    x = 218,943,594,698.25/463,052.64
  6. Step 6: Final answer
    x = 472,826.58

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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.