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Finding the Fourth Proportional to 456,737.54, 684,318.81 and 302,769.14

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Solution

The fourth proportional to 456,737.54, 684,318.81 and 302,769.14 is: 453,631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,737.54 : 684,318.81 = 302,769.14 : x
  2. Step 2: Convert to fraction form
    456,737.54/684,318.81 = 302,769.14/x
  3. Step 3: Cross multiply
    456,737.54x = 684,318.81 × 302,769.14
  4. Step 4: Simplify right side
    456,737.54x = 207,190,617,589.52
  5. Step 5: Solve for x
    x = 207,190,617,589.52/456,737.54
  6. Step 6: Final answer
    x = 453,631.68

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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.