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Finding the Fourth Proportional to 411,525.34, 617,347.16 and 127,238.05

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Solution

The fourth proportional to 411,525.34, 617,347.16 and 127,238.05 is: 190,875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,525.34 : 617,347.16 = 127,238.05 : x
  2. Step 2: Convert to fraction form
    411,525.34/617,347.16 = 127,238.05/x
  3. Step 3: Cross multiply
    411,525.34x = 617,347.16 × 127,238.05
  4. Step 4: Simplify right side
    411,525.34x = 78,550,048,175.25
  5. Step 5: Solve for x
    x = 78,550,048,175.25/411,525.34
  6. Step 6: Final answer
    x = 190,875.36

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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.