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Finding the Fourth Proportional to 306,676.62, 460,109.04 and 157,021.98

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Solution

The fourth proportional to 306,676.62, 460,109.04 and 157,021.98 is: 235,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,676.62 : 460,109.04 = 157,021.98 : x
  2. Step 2: Convert to fraction form
    306,676.62/460,109.04 = 157,021.98/x
  3. Step 3: Cross multiply
    306,676.62x = 460,109.04 × 157,021.98
  4. Step 4: Simplify right side
    306,676.62x = 72,247,232,476.70
  5. Step 5: Solve for x
    x = 72,247,232,476.70/306,676.62
  6. Step 6: Final answer
    x = 235,581.16

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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.