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Finding the Fourth Proportional to 306,701.40, 460,052.10 and 96,360.60

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Solution

The fourth proportional to 306,701.40, 460,052.10 and 96,360.60 is: 144,540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,701.40 : 460,052.10 = 96,360.60 : x
  2. Step 2: Convert to fraction form
    306,701.40/460,052.10 = 96,360.60/x
  3. Step 3: Cross multiply
    306,701.40x = 460,052.10 × 96,360.60
  4. Step 4: Simplify right side
    306,701.40x = 44,330,896,387.26
  5. Step 5: Solve for x
    x = 44,330,896,387.26/306,701.40
  6. Step 6: Final answer
    x = 144,540.90

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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.