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Finding the Fourth Proportional to 285,533.62, 428,303.46 and 117,010.68

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Solution

The fourth proportional to 285,533.62, 428,303.46 and 117,010.68 is: 175,517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,533.62 : 428,303.46 = 117,010.68 : x
  2. Step 2: Convert to fraction form
    285,533.62/428,303.46 = 117,010.68/x
  3. Step 3: Cross multiply
    285,533.62x = 428,303.46 × 117,010.68
  4. Step 4: Simplify right side
    285,533.62x = 50,116,079,100.95
  5. Step 5: Solve for x
    x = 50,116,079,100.95/285,533.62
  6. Step 6: Final answer
    x = 175,517.26

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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.