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Finding the Fourth Proportional to 307,566.20, 460,830.90 and 149,454.20

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Solution

The fourth proportional to 307,566.20, 460,830.90 and 149,454.20 is: 223,929.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,566.20 : 460,830.90 = 149,454.20 : x
  2. Step 2: Convert to fraction form
    307,566.20/460,830.90 = 149,454.20/x
  3. Step 3: Cross multiply
    307,566.20x = 460,830.90 × 149,454.20
  4. Step 4: Simplify right side
    307,566.20x = 68,873,113,494.78
  5. Step 5: Solve for x
    x = 68,873,113,494.78/307,566.20
  6. Step 6: Final answer
    x = 223,929.40

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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.