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Finding the Fourth Proportional to 307,556.80, 461,335.20 and 257,790.40

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Solution

The fourth proportional to 307,556.80, 461,335.20 and 257,790.40 is: 386,685.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,556.80 : 461,335.20 = 257,790.40 : x
  2. Step 2: Convert to fraction form
    307,556.80/461,335.20 = 257,790.40/x
  3. Step 3: Cross multiply
    307,556.80x = 461,335.20 × 257,790.40
  4. Step 4: Simplify right side
    307,556.80x = 118,927,785,742.08
  5. Step 5: Solve for x
    x = 118,927,785,742.08/307,556.80
  6. Step 6: Final answer
    x = 386,685.60

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1.5x scale

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.