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Finding the Fourth Proportional to 333,880.21, 500,821.13 and 97,228.63

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Solution

The fourth proportional to 333,880.21, 500,821.13 and 97,228.63 is: 145,843.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,880.21 : 500,821.13 = 97,228.63 : x
  2. Step 2: Convert to fraction form
    333,880.21/500,821.13 = 97,228.63/x
  3. Step 3: Cross multiply
    333,880.21x = 500,821.13 × 97,228.63
  4. Step 4: Simplify right side
    333,880.21x = 48,694,152,344.95
  5. Step 5: Solve for x
    x = 48,694,152,344.95/333,880.21
  6. Step 6: Final answer
    x = 145,843.18

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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.