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Finding the Fourth Proportional to 464,728.32, 641,520.48 and 314,029.44

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Solution

The fourth proportional to 464,728.32, 641,520.48 and 314,029.44 is: 433,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,728.32 : 641,520.48 = 314,029.44 : x
  2. Step 2: Convert to fraction form
    464,728.32/641,520.48 = 314,029.44/x
  3. Step 3: Cross multiply
    464,728.32x = 641,520.48 × 314,029.44
  4. Step 4: Simplify right side
    464,728.32x = 201,456,317,082.93
  5. Step 5: Solve for x
    x = 201,456,317,082.93/464,728.32
  6. Step 6: Final answer
    x = 433,492.66

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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.