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Finding the Fourth Proportional to 289,203.60, 433,805.40 and 194,725.20

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Solution

The fourth proportional to 289,203.60, 433,805.40 and 194,725.20 is: 292,087.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,203.60 : 433,805.40 = 194,725.20 : x
  2. Step 2: Convert to fraction form
    289,203.60/433,805.40 = 194,725.20/x
  3. Step 3: Cross multiply
    289,203.60x = 433,805.40 × 194,725.20
  4. Step 4: Simplify right side
    289,203.60x = 84,472,843,276.08
  5. Step 5: Solve for x
    x = 84,472,843,276.08/289,203.60
  6. Step 6: Final answer
    x = 292,087.80

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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.