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Finding the Fourth Proportional to 517,425.93, 776,268.06 and 180,471.42

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Solution

The fourth proportional to 517,425.93, 776,268.06 and 180,471.42 is: 270,752.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,425.93 : 776,268.06 = 180,471.42 : x
  2. Step 2: Convert to fraction form
    517,425.93/776,268.06 = 180,471.42/x
  3. Step 3: Cross multiply
    517,425.93x = 776,268.06 × 180,471.42
  4. Step 4: Simplify right side
    517,425.93x = 140,094,202,118.06
  5. Step 5: Solve for x
    x = 140,094,202,118.06/517,425.93
  6. Step 6: Final answer
    x = 270,752.19

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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.