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Finding the Fourth Proportional to 516,356.84, 712,495.14 and 289,958.60

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Solution

The fourth proportional to 516,356.84, 712,495.14 and 289,958.60 is: 400,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,356.84 : 712,495.14 = 289,958.60 : x
  2. Step 2: Convert to fraction form
    516,356.84/712,495.14 = 289,958.60/x
  3. Step 3: Cross multiply
    516,356.84x = 712,495.14 × 289,958.60
  4. Step 4: Simplify right side
    516,356.84x = 206,594,093,301.20
  5. Step 5: Solve for x
    x = 206,594,093,301.20/516,356.84
  6. Step 6: Final answer
    x = 400,099.46

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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.