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Finding the Fourth Proportional to 496,175.16, 684,709.29 and 289,483.14

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Solution

The fourth proportional to 496,175.16, 684,709.29 and 289,483.14 is: 399,479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,175.16 : 684,709.29 = 289,483.14 : x
  2. Step 2: Convert to fraction form
    496,175.16/684,709.29 = 289,483.14/x
  3. Step 3: Cross multiply
    496,175.16x = 684,709.29 × 289,483.14
  4. Step 4: Simplify right side
    496,175.16x = 198,211,795,256.37
  5. Step 5: Solve for x
    x = 198,211,795,256.37/496,175.16
  6. Step 6: Final answer
    x = 399,479.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.