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Finding the Fourth Proportional to 411,140.72, 617,022.66 and 174,649.34

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Solution

The fourth proportional to 411,140.72, 617,022.66 and 174,649.34 is: 262,106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,140.72 : 617,022.66 = 174,649.34 : x
  2. Step 2: Convert to fraction form
    411,140.72/617,022.66 = 174,649.34/x
  3. Step 3: Cross multiply
    411,140.72x = 617,022.66 × 174,649.34
  4. Step 4: Simplify right side
    411,140.72x = 107,762,600,334.04
  5. Step 5: Solve for x
    x = 107,762,600,334.04/411,140.72
  6. Step 6: Final answer
    x = 262,106.37

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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.