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Finding the Fourth Proportional to 1,397,376, 2,096,064 and 346,752

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Solution

The fourth proportional to 1,397,376, 2,096,064 and 346,752 is: 520,128

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,376 : 2,096,064 = 346,752 : x
  2. Step 2: Convert to fraction form
    1,397,376/2,096,064 = 346,752/x
  3. Step 3: Cross multiply
    1,397,376x = 2,096,064 × 346,752
  4. Step 4: Simplify right side
    1,397,376x = 726,814,384,128
  5. Step 5: Solve for x
    x = 726,814,384,128/1,397,376
  6. Step 6: Final answer
    x = 520,128

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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.