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Finding the Fourth Proportional to 456,095.40, 684,143.10 and 306,796.20

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Solution

The fourth proportional to 456,095.40, 684,143.10 and 306,796.20 is: 460,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,095.40 : 684,143.10 = 306,796.20 : x
  2. Step 2: Convert to fraction form
    456,095.40/684,143.10 = 306,796.20/x
  3. Step 3: Cross multiply
    456,095.40x = 684,143.10 × 306,796.20
  4. Step 4: Simplify right side
    456,095.40x = 209,892,503,336.22
  5. Step 5: Solve for x
    x = 209,892,503,336.22/456,095.40
  6. Step 6: Final answer
    x = 460,194.30

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Double scale
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Similar ratio
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1.5x scale

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.