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Finding the Fourth Proportional to 411,776.08, 617,669.24 and 112,271.44

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Solution

The fourth proportional to 411,776.08, 617,669.24 and 112,271.44 is: 168,408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,776.08 : 617,669.24 = 112,271.44 : x
  2. Step 2: Convert to fraction form
    411,776.08/617,669.24 = 112,271.44/x
  3. Step 3: Cross multiply
    411,776.08x = 617,669.24 × 112,271.44
  4. Step 4: Simplify right side
    411,776.08x = 69,346,615,018.51
  5. Step 5: Solve for x
    x = 69,346,615,018.51/411,776.08
  6. Step 6: Final answer
    x = 168,408.56

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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.