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Finding the Fourth Proportional to 336,164.52, 463,907.10 and 183,202.74

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Solution

The fourth proportional to 336,164.52, 463,907.10 and 183,202.74 is: 252,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,164.52 : 463,907.10 = 183,202.74 : x
  2. Step 2: Convert to fraction form
    336,164.52/463,907.10 = 183,202.74/x
  3. Step 3: Cross multiply
    336,164.52x = 463,907.10 × 183,202.74
  4. Step 4: Simplify right side
    336,164.52x = 84,989,051,825.45
  5. Step 5: Solve for x
    x = 84,989,051,825.45/336,164.52
  6. Step 6: Final answer
    x = 252,819.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.