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Finding the Fourth Proportional to 519,399.14, 716,771.51 and 293,065.70

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Solution

The fourth proportional to 519,399.14, 716,771.51 and 293,065.70 is: 404,431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,399.14 : 716,771.51 = 293,065.70 : x
  2. Step 2: Convert to fraction form
    519,399.14/716,771.51 = 293,065.70/x
  3. Step 3: Cross multiply
    519,399.14x = 716,771.51 × 293,065.70
  4. Step 4: Simplify right side
    519,399.14x = 210,061,139,269.02
  5. Step 5: Solve for x
    x = 210,061,139,269.02/519,399.14
  6. Step 6: Final answer
    x = 404,431.05

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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.