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Finding the Fourth Proportional to 411,688.01, 617,378.44 and 141,739.90

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Solution

The fourth proportional to 411,688.01, 617,378.44 and 141,739.90 is: 212,556.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,688.01 : 617,378.44 = 141,739.90 : x
  2. Step 2: Convert to fraction form
    411,688.01/617,378.44 = 141,739.90/x
  3. Step 3: Cross multiply
    411,688.01x = 617,378.44 × 141,739.90
  4. Step 4: Simplify right side
    411,688.01x = 87,507,156,423.93
  5. Step 5: Solve for x
    x = 87,507,156,423.93/411,688.01
  6. Step 6: Final answer
    x = 212,556.97

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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.