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Finding the Fourth Proportional to 416,763.48, 624,461.76 and 176,685.54

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Solution

The fourth proportional to 416,763.48, 624,461.76 and 176,685.54 is: 264,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,763.48 : 624,461.76 = 176,685.54 : x
  2. Step 2: Convert to fraction form
    416,763.48/624,461.76 = 176,685.54/x
  3. Step 3: Cross multiply
    416,763.48x = 624,461.76 × 176,685.54
  4. Step 4: Simplify right side
    416,763.48x = 110,333,363,274.95
  5. Step 5: Solve for x
    x = 110,333,363,274.95/416,763.48
  6. Step 6: Final answer
    x = 264,738.56

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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.