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Finding the Fourth Proportional to 416,763.85, 624,462.33 and 176,685.92

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Solution

The fourth proportional to 416,763.85, 624,462.33 and 176,685.92 is: 264,739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,763.85 : 624,462.33 = 176,685.92 : x
  2. Step 2: Convert to fraction form
    416,763.85/624,462.33 = 176,685.92/x
  3. Step 3: Cross multiply
    416,763.85x = 624,462.33 × 176,685.92
  4. Step 4: Simplify right side
    416,763.85x = 110,333,701,281.39
  5. Step 5: Solve for x
    x = 110,333,701,281.39/416,763.85
  6. Step 6: Final answer
    x = 264,739.14

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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.