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Finding the Fourth Proportional to 516,589.30, 774,993.30 and 156,730.60

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Solution

The fourth proportional to 516,589.30, 774,993.30 and 156,730.60 is: 235,129.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,589.30 : 774,993.30 = 156,730.60 : x
  2. Step 2: Convert to fraction form
    516,589.30/774,993.30 = 156,730.60/x
  3. Step 3: Cross multiply
    516,589.30x = 774,993.30 × 156,730.60
  4. Step 4: Simplify right side
    516,589.30x = 121,465,164,904.98
  5. Step 5: Solve for x
    x = 121,465,164,904.98/516,589.30
  6. Step 6: Final answer
    x = 235,129.08

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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.