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Finding the Fourth Proportional to 307,029.60, 460,544.40 and 274,552.65

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Solution

The fourth proportional to 307,029.60, 460,544.40 and 274,552.65 is: 411,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,029.60 : 460,544.40 = 274,552.65 : x
  2. Step 2: Convert to fraction form
    307,029.60/460,544.40 = 274,552.65/x
  3. Step 3: Cross multiply
    307,029.60x = 460,544.40 × 274,552.65
  4. Step 4: Simplify right side
    307,029.60x = 126,443,685,462.66
  5. Step 5: Solve for x
    x = 126,443,685,462.66/307,029.60
  6. Step 6: Final answer
    x = 411,828.98

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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.