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Finding the Fourth Proportional to 456,141.17, 684,323.34 and 321,468

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Solution

The fourth proportional to 456,141.17, 684,323.34 and 321,468 is: 482,280.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,141.17 : 684,323.34 = 321,468 : x
  2. Step 2: Convert to fraction form
    456,141.17/684,323.34 = 321,468/x
  3. Step 3: Cross multiply
    456,141.17x = 684,323.34 × 321,468
  4. Step 4: Simplify right side
    456,141.17x = 219,988,055,463.12
  5. Step 5: Solve for x
    x = 219,988,055,463.12/456,141.17
  6. Step 6: Final answer
    x = 482,280.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.