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Finding the Fourth Proportional to 329,794.30, 463,111.70 and 329,794.30

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Solution

The fourth proportional to 329,794.30, 463,111.70 and 329,794.30 is: 463,111.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,794.30 : 463,111.70 = 329,794.30 : x
  2. Step 2: Convert to fraction form
    329,794.30/463,111.70 = 329,794.30/x
  3. Step 3: Cross multiply
    329,794.30x = 463,111.70 × 329,794.30
  4. Step 4: Simplify right side
    329,794.30x = 152,731,598,923.31
  5. Step 5: Solve for x
    x = 152,731,598,923.31/329,794.30
  6. Step 6: Final answer
    x = 463,111.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.