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Finding the Fourth Proportional to 411,407.10, 617,156.01 and 130,858.74

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Solution

The fourth proportional to 411,407.10, 617,156.01 and 130,858.74 is: 196,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,407.10 : 617,156.01 = 130,858.74 : x
  2. Step 2: Convert to fraction form
    411,407.10/617,156.01 = 130,858.74/x
  3. Step 3: Cross multiply
    411,407.10x = 617,156.01 × 130,858.74
  4. Step 4: Simplify right side
    411,407.10x = 80,760,257,852.03
  5. Step 5: Solve for x
    x = 80,760,257,852.03/411,407.10
  6. Step 6: Final answer
    x = 196,302.54

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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.