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Finding the Fourth Proportional to 289,713.60, 434,570.40 and 254,721.60

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Solution

The fourth proportional to 289,713.60, 434,570.40 and 254,721.60 is: 382,082.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,713.60 : 434,570.40 = 254,721.60 : x
  2. Step 2: Convert to fraction form
    289,713.60/434,570.40 = 254,721.60/x
  3. Step 3: Cross multiply
    289,713.60x = 434,570.40 × 254,721.60
  4. Step 4: Simplify right side
    289,713.60x = 110,694,467,600.64
  5. Step 5: Solve for x
    x = 110,694,467,600.64/289,713.60
  6. Step 6: Final answer
    x = 382,082.40

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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.