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Finding the Fourth Proportional to 411,632.10, 617,184.63 and 186,758.82

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Solution

The fourth proportional to 411,632.10, 617,184.63 and 186,758.82 is: 280,018.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,632.10 : 617,184.63 = 186,758.82 : x
  2. Step 2: Convert to fraction form
    411,632.10/617,184.63 = 186,758.82/x
  3. Step 3: Cross multiply
    411,632.10x = 617,184.63 × 186,758.82
  4. Step 4: Simplify right side
    411,632.10x = 115,264,673,220.94
  5. Step 5: Solve for x
    x = 115,264,673,220.94/411,632.10
  6. Step 6: Final answer
    x = 280,018.67

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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.