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Finding the Fourth Proportional to 516,327.46, 774,794.58 and 216,785.00

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Solution

The fourth proportional to 516,327.46, 774,794.58 and 216,785.00 is: 325,304.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,327.46 : 774,794.58 = 216,785.00 : x
  2. Step 2: Convert to fraction form
    516,327.46/774,794.58 = 216,785.00/x
  3. Step 3: Cross multiply
    516,327.46x = 774,794.58 × 216,785.00
  4. Step 4: Simplify right side
    516,327.46x = 167,963,844,962.29
  5. Step 5: Solve for x
    x = 167,963,844,962.29/516,327.46
  6. Step 6: Final answer
    x = 325,304.89

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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.