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Finding the Fourth Proportional to 516,281.59, 774,305.44 and 196,319.40

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Solution

The fourth proportional to 516,281.59, 774,305.44 and 196,319.40 is: 294,434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,281.59 : 774,305.44 = 196,319.40 : x
  2. Step 2: Convert to fraction form
    516,281.59/774,305.44 = 196,319.40/x
  3. Step 3: Cross multiply
    516,281.59x = 774,305.44 × 196,319.40
  4. Step 4: Simplify right side
    516,281.59x = 152,011,176,003.09
  5. Step 5: Solve for x
    x = 152,011,176,003.09/516,281.59
  6. Step 6: Final answer
    x = 294,434.62

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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.