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Finding the Fourth Proportional to 476,880, 715,648.08 and 196,397.28

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Solution

The fourth proportional to 476,880, 715,648.08 and 196,397.28 is: 294,731.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,880 : 715,648.08 = 196,397.28 : x
  2. Step 2: Convert to fraction form
    476,880/715,648.08 = 196,397.28/x
  3. Step 3: Cross multiply
    476,880x = 715,648.08 × 196,397.28
  4. Step 4: Simplify right side
    476,880x = 140,551,336,349.22
  5. Step 5: Solve for x
    x = 140,551,336,349.22/476,880
  6. Step 6: Final answer
    x = 294,731.04

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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.