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Finding the Fourth Proportional to 456,663, 684,941.84 and 119,730.41

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Solution

The fourth proportional to 456,663, 684,941.84 and 119,730.41 is: 179,581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,663 : 684,941.84 = 119,730.41 : x
  2. Step 2: Convert to fraction form
    456,663/684,941.84 = 119,730.41/x
  3. Step 3: Cross multiply
    456,663x = 684,941.84 × 119,730.41
  4. Step 4: Simplify right side
    456,663x = 82,008,367,329.35
  5. Step 5: Solve for x
    x = 82,008,367,329.35/456,663
  6. Step 6: Final answer
    x = 179,581.81

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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.