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Finding the Fourth Proportional to 306,794.34, 460,222.99 and 117,414.01

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Solution

The fourth proportional to 306,794.34, 460,222.99 and 117,414.01 is: 176,133.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,794.34 : 460,222.99 = 117,414.01 : x
  2. Step 2: Convert to fraction form
    306,794.34/460,222.99 = 117,414.01/x
  3. Step 3: Cross multiply
    306,794.34x = 460,222.99 × 117,414.01
  4. Step 4: Simplify right side
    306,794.34x = 54,036,626,829.37
  5. Step 5: Solve for x
    x = 54,036,626,829.37/306,794.34
  6. Step 6: Final answer
    x = 176,133.06

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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.