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Finding the Fourth Proportional to 516,360.56, 774,844 and 216,818.08

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Solution

The fourth proportional to 516,360.56, 774,844 and 216,818.08 is: 325,354.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,360.56 : 774,844 = 216,818.08 : x
  2. Step 2: Convert to fraction form
    516,360.56/774,844 = 216,818.08/x
  3. Step 3: Cross multiply
    516,360.56x = 774,844 × 216,818.08
  4. Step 4: Simplify right side
    516,360.56x = 168,000,188,379.52
  5. Step 5: Solve for x
    x = 168,000,188,379.52/516,360.56
  6. Step 6: Final answer
    x = 325,354.42

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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.