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Finding the Fourth Proportional to 297,880.25, 410,909.69 and 188,784.23

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Solution

The fourth proportional to 297,880.25, 410,909.69 and 188,784.23 is: 260,417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,880.25 : 410,909.69 = 188,784.23 : x
  2. Step 2: Convert to fraction form
    297,880.25/410,909.69 = 188,784.23/x
  3. Step 3: Cross multiply
    297,880.25x = 410,909.69 × 188,784.23
  4. Step 4: Simplify right side
    297,880.25x = 77,573,267,843.60
  5. Step 5: Solve for x
    x = 77,573,267,843.60/297,880.25
  6. Step 6: Final answer
    x = 260,417.63

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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.