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Finding the Fourth Proportional to 314,080.40, 433,485.96 and 186,827.60

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Solution

The fourth proportional to 314,080.40, 433,485.96 and 186,827.60 is: 257,854.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,080.40 : 433,485.96 = 186,827.60 : x
  2. Step 2: Convert to fraction form
    314,080.40/433,485.96 = 186,827.60/x
  3. Step 3: Cross multiply
    314,080.40x = 433,485.96 × 186,827.60
  4. Step 4: Simplify right side
    314,080.40x = 80,987,141,540.50
  5. Step 5: Solve for x
    x = 80,987,141,540.50/314,080.40
  6. Step 6: Final answer
    x = 257,854.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.