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Finding the Fourth Proportional to 411,343.65, 617,092.68 and 186,719.87

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Solution

The fourth proportional to 411,343.65, 617,092.68 and 186,719.87 is: 280,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,343.65 : 617,092.68 = 186,719.87 : x
  2. Step 2: Convert to fraction form
    411,343.65/617,092.68 = 186,719.87/x
  3. Step 3: Cross multiply
    411,343.65x = 617,092.68 × 186,719.87
  4. Step 4: Simplify right side
    411,343.65x = 115,223,462,368.89
  5. Step 5: Solve for x
    x = 115,223,462,368.89/411,343.65
  6. Step 6: Final answer
    x = 280,114.85

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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.