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Finding the Fourth Proportional to 289,615.20, 434,422.80 and 279,938.40

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Solution

The fourth proportional to 289,615.20, 434,422.80 and 279,938.40 is: 419,907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,615.20 : 434,422.80 = 279,938.40 : x
  2. Step 2: Convert to fraction form
    289,615.20/434,422.80 = 279,938.40/x
  3. Step 3: Cross multiply
    289,615.20x = 434,422.80 × 279,938.40
  4. Step 4: Simplify right side
    289,615.20x = 121,611,623,555.52
  5. Step 5: Solve for x
    x = 121,611,623,555.52/289,615.20
  6. Step 6: Final answer
    x = 419,907.60

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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.