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Finding the Fourth Proportional to 517,345.80, 774,576.84 and 264,081.48

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Solution

The fourth proportional to 517,345.80, 774,576.84 and 264,081.48 is: 395,386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,345.80 : 774,576.84 = 264,081.48 : x
  2. Step 2: Convert to fraction form
    517,345.80/774,576.84 = 264,081.48/x
  3. Step 3: Cross multiply
    517,345.80x = 774,576.84 × 264,081.48
  4. Step 4: Simplify right side
    517,345.80x = 204,551,398,280.92
  5. Step 5: Solve for x
    x = 204,551,398,280.92/517,345.80
  6. Step 6: Final answer
    x = 395,386.22

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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.