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Finding the Fourth Proportional to 456,054.70, 684,082.05 and 288,093.10

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Solution

The fourth proportional to 456,054.70, 684,082.05 and 288,093.10 is: 432,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,054.70 : 684,082.05 = 288,093.10 : x
  2. Step 2: Convert to fraction form
    456,054.70/684,082.05 = 288,093.10/x
  3. Step 3: Cross multiply
    456,054.70x = 684,082.05 × 288,093.10
  4. Step 4: Simplify right side
    456,054.70x = 197,079,318,438.86
  5. Step 5: Solve for x
    x = 197,079,318,438.86/456,054.70
  6. Step 6: Final answer
    x = 432,139.65

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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.