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Finding the Fourth Proportional to 516,326.70, 774,793.45 and 216,784.25

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Solution

The fourth proportional to 516,326.70, 774,793.45 and 216,784.25 is: 325,303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,326.70 : 774,793.45 = 216,784.25 : x
  2. Step 2: Convert to fraction form
    516,326.70/774,793.45 = 216,784.25/x
  3. Step 3: Cross multiply
    516,326.70x = 774,793.45 × 216,784.25
  4. Step 4: Simplify right side
    516,326.70x = 167,963,016,265.65
  5. Step 5: Solve for x
    x = 167,963,016,265.65/516,326.70
  6. Step 6: Final answer
    x = 325,303.76

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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.