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Finding the Fourth Proportional to 456,095.84, 684,145.20 and 268,976

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Solution

The fourth proportional to 456,095.84, 684,145.20 and 268,976 is: 403,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,095.84 : 684,145.20 = 268,976 : x
  2. Step 2: Convert to fraction form
    456,095.84/684,145.20 = 268,976/x
  3. Step 3: Cross multiply
    456,095.84x = 684,145.20 × 268,976
  4. Step 4: Simplify right side
    456,095.84x = 184,018,639,315.20
  5. Step 5: Solve for x
    x = 184,018,639,315.20/456,095.84
  6. Step 6: Final answer
    x = 403,464.85

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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.