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Finding the Fourth Proportional to 411,775.08, 617,667.74 and 112,270.44

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Solution

The fourth proportional to 411,775.08, 617,667.74 and 112,270.44 is: 168,407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,775.08 : 617,667.74 = 112,270.44 : x
  2. Step 2: Convert to fraction form
    411,775.08/617,667.74 = 112,270.44/x
  3. Step 3: Cross multiply
    411,775.08x = 617,667.74 × 112,270.44
  4. Step 4: Simplify right side
    411,775.08x = 69,345,828,943.61
  5. Step 5: Solve for x
    x = 69,345,828,943.61/411,775.08
  6. Step 6: Final answer
    x = 168,407.06

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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.