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Finding the Fourth Proportional to 416,492.34, 624,738.51 and 100,949.25

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Solution

The fourth proportional to 416,492.34, 624,738.51 and 100,949.25 is: 151,423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,492.34 : 624,738.51 = 100,949.25 : x
  2. Step 2: Convert to fraction form
    416,492.34/624,738.51 = 100,949.25/x
  3. Step 3: Cross multiply
    416,492.34x = 624,738.51 × 100,949.25
  4. Step 4: Simplify right side
    416,492.34x = 63,066,884,030.62
  5. Step 5: Solve for x
    x = 63,066,884,030.62/416,492.34
  6. Step 6: Final answer
    x = 151,423.88

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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.