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Finding the Fourth Proportional to 416,763.22, 624,461.38 and 176,685.30

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Solution

The fourth proportional to 416,763.22, 624,461.38 and 176,685.30 is: 264,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,763.22 : 624,461.38 = 176,685.30 : x
  2. Step 2: Convert to fraction form
    416,763.22/624,461.38 = 176,685.30/x
  3. Step 3: Cross multiply
    416,763.22x = 624,461.38 × 176,685.30
  4. Step 4: Simplify right side
    416,763.22x = 110,333,146,263.71
  5. Step 5: Solve for x
    x = 110,333,146,263.71/416,763.22
  6. Step 6: Final answer
    x = 264,738.20

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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.