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Finding the Fourth Proportional to 306,675.40, 460,013.10 and 96,334.60

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Solution

The fourth proportional to 306,675.40, 460,013.10 and 96,334.60 is: 144,501.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,675.40 : 460,013.10 = 96,334.60 : x
  2. Step 2: Convert to fraction form
    306,675.40/460,013.10 = 96,334.60/x
  3. Step 3: Cross multiply
    306,675.40x = 460,013.10 × 96,334.60
  4. Step 4: Simplify right side
    306,675.40x = 44,315,177,983.26
  5. Step 5: Solve for x
    x = 44,315,177,983.26/306,675.40
  6. Step 6: Final answer
    x = 144,501.90

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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.