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Finding the Fourth Proportional to 289,486.40, 434,164.80 and 190,342.40

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Solution

The fourth proportional to 289,486.40, 434,164.80 and 190,342.40 is: 285,470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,486.40 : 434,164.80 = 190,342.40 : x
  2. Step 2: Convert to fraction form
    289,486.40/434,164.80 = 190,342.40/x
  3. Step 3: Cross multiply
    289,486.40x = 434,164.80 × 190,342.40
  4. Step 4: Simplify right side
    289,486.40x = 82,639,970,027.52
  5. Step 5: Solve for x
    x = 82,639,970,027.52/289,486.40
  6. Step 6: Final answer
    x = 285,470.99

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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.