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Finding the Fourth Proportional to 456,226.38, 684,105 and 266,728.50

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Solution

The fourth proportional to 456,226.38, 684,105 and 266,728.50 is: 399,955.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,226.38 : 684,105 = 266,728.50 : x
  2. Step 2: Convert to fraction form
    456,226.38/684,105 = 266,728.50/x
  3. Step 3: Cross multiply
    456,226.38x = 684,105 × 266,728.50
  4. Step 4: Simplify right side
    456,226.38x = 182,470,300,492.50
  5. Step 5: Solve for x
    x = 182,470,300,492.50/456,226.38
  6. Step 6: Final answer
    x = 399,955.61

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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.