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Finding the Fourth Proportional to 407,124.68, 610,391.77 and 273,673.94

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Solution

The fourth proportional to 407,124.68, 610,391.77 and 273,673.94 is: 410,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,124.68 : 610,391.77 = 273,673.94 : x
  2. Step 2: Convert to fraction form
    407,124.68/610,391.77 = 273,673.94/x
  3. Step 3: Cross multiply
    407,124.68x = 610,391.77 × 273,673.94
  4. Step 4: Simplify right side
    407,124.68x = 167,048,316,903.33
  5. Step 5: Solve for x
    x = 167,048,316,903.33/407,124.68
  6. Step 6: Final answer
    x = 410,312.44

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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.