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Finding the Fourth Proportional to 416,213.10, 624,319.65 and 309,924.90

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Solution

The fourth proportional to 416,213.10, 624,319.65 and 309,924.90 is: 464,887.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,213.10 : 624,319.65 = 309,924.90 : x
  2. Step 2: Convert to fraction form
    416,213.10/624,319.65 = 309,924.90/x
  3. Step 3: Cross multiply
    416,213.10x = 624,319.65 × 309,924.90
  4. Step 4: Simplify right side
    416,213.10x = 193,492,205,094.29
  5. Step 5: Solve for x
    x = 193,492,205,094.29/416,213.10
  6. Step 6: Final answer
    x = 464,887.35

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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.