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Finding the Fourth Proportional to 306,706.29, 460,077.72 and 96,344.16

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Solution

The fourth proportional to 306,706.29, 460,077.72 and 96,344.16 is: 144,521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,706.29 : 460,077.72 = 96,344.16 : x
  2. Step 2: Convert to fraction form
    306,706.29/460,077.72 = 96,344.16/x
  3. Step 3: Cross multiply
    306,706.29x = 460,077.72 × 96,344.16
  4. Step 4: Simplify right side
    306,706.29x = 44,325,801,468.12
  5. Step 5: Solve for x
    x = 44,325,801,468.12/306,706.29
  6. Step 6: Final answer
    x = 144,521.98

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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.