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Finding the Fourth Proportional to 338,744.57, 508,313.64 and 151,756.07

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Solution

The fourth proportional to 338,744.57, 508,313.64 and 151,756.07 is: 227,722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,744.57 : 508,313.64 = 151,756.07 : x
  2. Step 2: Convert to fraction form
    338,744.57/508,313.64 = 151,756.07/x
  3. Step 3: Cross multiply
    338,744.57x = 508,313.64 × 151,756.07
  4. Step 4: Simplify right side
    338,744.57x = 77,139,679,575.01
  5. Step 5: Solve for x
    x = 77,139,679,575.01/338,744.57
  6. Step 6: Final answer
    x = 227,722.26

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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.