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Finding the Fourth Proportional to 333,071.84, 499,612.32 and 108,433.40

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Solution

The fourth proportional to 333,071.84, 499,612.32 and 108,433.40 is: 162,651.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,071.84 : 499,612.32 = 108,433.40 : x
  2. Step 2: Convert to fraction form
    333,071.84/499,612.32 = 108,433.40/x
  3. Step 3: Cross multiply
    333,071.84x = 499,612.32 × 108,433.40
  4. Step 4: Simplify right side
    333,071.84x = 54,174,662,539.49
  5. Step 5: Solve for x
    x = 54,174,662,539.49/333,071.84
  6. Step 6: Final answer
    x = 162,651.58

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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.