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Finding the Fourth Proportional to 333,653.20, 499,823.70 and 310,033.60

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Solution

The fourth proportional to 333,653.20, 499,823.70 and 310,033.60 is: 464,440.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,653.20 : 499,823.70 = 310,033.60 : x
  2. Step 2: Convert to fraction form
    333,653.20/499,823.70 = 310,033.60/x
  3. Step 3: Cross multiply
    333,653.20x = 499,823.70 × 310,033.60
  4. Step 4: Simplify right side
    333,653.20x = 154,962,141,076.32
  5. Step 5: Solve for x
    x = 154,962,141,076.32/333,653.20
  6. Step 6: Final answer
    x = 464,440.75

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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.