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Finding the Fourth Proportional to 285,934.40, 428,905.20 and 75,570.48

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Solution

The fourth proportional to 285,934.40, 428,905.20 and 75,570.48 is: 113,356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,934.40 : 428,905.20 = 75,570.48 : x
  2. Step 2: Convert to fraction form
    285,934.40/428,905.20 = 75,570.48/x
  3. Step 3: Cross multiply
    285,934.40x = 428,905.20 × 75,570.48
  4. Step 4: Simplify right side
    285,934.40x = 32,412,571,838.50
  5. Step 5: Solve for x
    x = 32,412,571,838.50/285,934.40
  6. Step 6: Final answer
    x = 113,356.67

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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.