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Finding the Fourth Proportional to 306,697.10, 460,064.02 and 96,335.03

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Solution

The fourth proportional to 306,697.10, 460,064.02 and 96,335.03 is: 144,508.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,697.10 : 460,064.02 = 96,335.03 : x
  2. Step 2: Convert to fraction form
    306,697.10/460,064.02 = 96,335.03/x
  3. Step 3: Cross multiply
    306,697.10x = 460,064.02 × 96,335.03
  4. Step 4: Simplify right side
    306,697.10x = 44,320,281,168.62
  5. Step 5: Solve for x
    x = 44,320,281,168.62/306,697.10
  6. Step 6: Final answer
    x = 144,508.32

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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.