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Finding the Fourth Proportional to 257,606.80, 386,410.20 and 186,643.60

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Solution

The fourth proportional to 257,606.80, 386,410.20 and 186,643.60 is: 279,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,606.80 : 386,410.20 = 186,643.60 : x
  2. Step 2: Convert to fraction form
    257,606.80/386,410.20 = 186,643.60/x
  3. Step 3: Cross multiply
    257,606.80x = 386,410.20 × 186,643.60
  4. Step 4: Simplify right side
    257,606.80x = 72,120,990,804.72
  5. Step 5: Solve for x
    x = 72,120,990,804.72/257,606.80
  6. Step 6: Final answer
    x = 279,965.40

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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.