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Finding the Fourth Proportional to 516,652.60, 774,993.44 and 142,675.60

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Solution

The fourth proportional to 516,652.60, 774,993.44 and 142,675.60 is: 214,017.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,652.60 : 774,993.44 = 142,675.60 : x
  2. Step 2: Convert to fraction form
    516,652.60/774,993.44 = 142,675.60/x
  3. Step 3: Cross multiply
    516,652.60x = 774,993.44 × 142,675.60
  4. Step 4: Simplify right side
    516,652.60x = 110,572,654,048.06
  5. Step 5: Solve for x
    x = 110,572,654,048.06/516,652.60
  6. Step 6: Final answer
    x = 214,017.42

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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.