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Finding the Fourth Proportional to 407,814.70, 611,722.06 and 266,097.10

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Solution

The fourth proportional to 407,814.70, 611,722.06 and 266,097.10 is: 399,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,814.70 : 611,722.06 = 266,097.10 : x
  2. Step 2: Convert to fraction form
    407,814.70/611,722.06 = 266,097.10/x
  3. Step 3: Cross multiply
    407,814.70x = 611,722.06 × 266,097.10
  4. Step 4: Simplify right side
    407,814.70x = 162,777,466,172.03
  5. Step 5: Solve for x
    x = 162,777,466,172.03/407,814.70
  6. Step 6: Final answer
    x = 399,145.66

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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.