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Finding the Fourth Proportional to 304,889.40, 457,334.10 and 287,782.20

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Solution

The fourth proportional to 304,889.40, 457,334.10 and 287,782.20 is: 431,673.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,889.40 : 457,334.10 = 287,782.20 : x
  2. Step 2: Convert to fraction form
    304,889.40/457,334.10 = 287,782.20/x
  3. Step 3: Cross multiply
    304,889.40x = 457,334.10 × 287,782.20
  4. Step 4: Simplify right side
    304,889.40x = 131,612,613,433.02
  5. Step 5: Solve for x
    x = 131,612,613,433.02/304,889.40
  6. Step 6: Final answer
    x = 431,673.30

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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.