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Finding the Fourth Proportional to 307,567.80, 461,351.70 and 257,704.20

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Solution

The fourth proportional to 307,567.80, 461,351.70 and 257,704.20 is: 386,556.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,567.80 : 461,351.70 = 257,704.20 : x
  2. Step 2: Convert to fraction form
    307,567.80/461,351.70 = 257,704.20/x
  3. Step 3: Cross multiply
    307,567.80x = 461,351.70 × 257,704.20
  4. Step 4: Simplify right side
    307,567.80x = 118,892,270,767.14
  5. Step 5: Solve for x
    x = 118,892,270,767.14/307,567.80
  6. Step 6: Final answer
    x = 386,556.30

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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.