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Finding the Fourth Proportional to 416,065.80, 624,098.70 and 176,217.51

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Solution

The fourth proportional to 416,065.80, 624,098.70 and 176,217.51 is: 264,326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,065.80 : 624,098.70 = 176,217.51 : x
  2. Step 2: Convert to fraction form
    416,065.80/624,098.70 = 176,217.51/x
  3. Step 3: Cross multiply
    416,065.80x = 624,098.70 × 176,217.51
  4. Step 4: Simplify right side
    416,065.80x = 109,977,118,908.24
  5. Step 5: Solve for x
    x = 109,977,118,908.24/416,065.80
  6. Step 6: Final answer
    x = 264,326.27

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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.