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Finding the Fourth Proportional to 407,762.52, 562,715.82 and 237,963.48

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Solution

The fourth proportional to 407,762.52, 562,715.82 and 237,963.48 is: 328,391.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,762.52 : 562,715.82 = 237,963.48 : x
  2. Step 2: Convert to fraction form
    407,762.52/562,715.82 = 237,963.48/x
  3. Step 3: Cross multiply
    407,762.52x = 562,715.82 × 237,963.48
  4. Step 4: Simplify right side
    407,762.52x = 133,905,814,778.25
  5. Step 5: Solve for x
    x = 133,905,814,778.25/407,762.52
  6. Step 6: Final answer
    x = 328,391.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.