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Finding the Fourth Proportional to 456,224.40, 684,271.80 and 140,713.20

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Solution

The fourth proportional to 456,224.40, 684,271.80 and 140,713.20 is: 211,049.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,224.40 : 684,271.80 = 140,713.20 : x
  2. Step 2: Convert to fraction form
    456,224.40/684,271.80 = 140,713.20/x
  3. Step 3: Cross multiply
    456,224.40x = 684,271.80 × 140,713.20
  4. Step 4: Simplify right side
    456,224.40x = 96,286,074,647.76
  5. Step 5: Solve for x
    x = 96,286,074,647.76/456,224.40
  6. Step 6: Final answer
    x = 211,049.81

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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.