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Finding the Fourth Proportional to 516,265.62, 774,281.61 and 196,303.38

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Solution

The fourth proportional to 516,265.62, 774,281.61 and 196,303.38 is: 294,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,265.62 : 774,281.61 = 196,303.38 : x
  2. Step 2: Convert to fraction form
    516,265.62/774,281.61 = 196,303.38/x
  3. Step 3: Cross multiply
    516,265.62x = 774,281.61 × 196,303.38
  4. Step 4: Simplify right side
    516,265.62x = 151,994,097,114.84
  5. Step 5: Solve for x
    x = 151,994,097,114.84/516,265.62
  6. Step 6: Final answer
    x = 294,410.65

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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.