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Finding the Fourth Proportional to 333,102.17, 499,431.32 and 183,412.96

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Solution

The fourth proportional to 333,102.17, 499,431.32 and 183,412.96 is: 274,997.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,102.17 : 499,431.32 = 183,412.96 : x
  2. Step 2: Convert to fraction form
    333,102.17/499,431.32 = 183,412.96/x
  3. Step 3: Cross multiply
    333,102.17x = 499,431.32 × 183,412.96
  4. Step 4: Simplify right side
    333,102.17x = 91,602,175,240.06
  5. Step 5: Solve for x
    x = 91,602,175,240.06/333,102.17
  6. Step 6: Final answer
    x = 274,997.23

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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.