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Finding the Fourth Proportional to 416,894.60, 624,881.10 and 230,040.20

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Solution

The fourth proportional to 416,894.60, 624,881.10 and 230,040.20 is: 344,806.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,894.60 : 624,881.10 = 230,040.20 : x
  2. Step 2: Convert to fraction form
    416,894.60/624,881.10 = 230,040.20/x
  3. Step 3: Cross multiply
    416,894.60x = 624,881.10 × 230,040.20
  4. Step 4: Simplify right side
    416,894.60x = 143,747,773,220.22
  5. Step 5: Solve for x
    x = 143,747,773,220.22/416,894.60
  6. Step 6: Final answer
    x = 344,806.03

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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.