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Finding the Fourth Proportional to 516,137.68, 712,251.64 and 289,792.72

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Solution

The fourth proportional to 516,137.68, 712,251.64 and 289,792.72 is: 399,903.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,137.68 : 712,251.64 = 289,792.72 : x
  2. Step 2: Convert to fraction form
    516,137.68/712,251.64 = 289,792.72/x
  3. Step 3: Cross multiply
    516,137.68x = 712,251.64 × 289,792.72
  4. Step 4: Simplify right side
    516,137.68x = 206,405,340,080.06
  5. Step 5: Solve for x
    x = 206,405,340,080.06/516,137.68
  6. Step 6: Final answer
    x = 399,903.65

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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.