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Finding the Fourth Proportional to 516,327.70, 774,794.95 and 216,785.25

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Solution

The fourth proportional to 516,327.70, 774,794.95 and 216,785.25 is: 325,305.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,327.70 : 774,794.95 = 216,785.25 : x
  2. Step 2: Convert to fraction form
    516,327.70/774,794.95 = 216,785.25/x
  3. Step 3: Cross multiply
    516,327.70x = 774,794.95 × 216,785.25
  4. Step 4: Simplify right side
    516,327.70x = 167,964,116,934.49
  5. Step 5: Solve for x
    x = 167,964,116,934.49/516,327.70
  6. Step 6: Final answer
    x = 325,305.26

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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.