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Finding the Fourth Proportional to 452,986.49, 678,001.17 and 333,011.68

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Solution

The fourth proportional to 452,986.49, 678,001.17 and 333,011.68 is: 498,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,986.49 : 678,001.17 = 333,011.68 : x
  2. Step 2: Convert to fraction form
    452,986.49/678,001.17 = 333,011.68/x
  3. Step 3: Cross multiply
    452,986.49x = 678,001.17 × 333,011.68
  4. Step 4: Simplify right side
    452,986.49x = 225,782,306,522.45
  5. Step 5: Solve for x
    x = 225,782,306,522.45/452,986.49
  6. Step 6: Final answer
    x = 498,430.55

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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.