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Finding the Fourth Proportional to 417,039.60, 575,515.62 and 226,052.13

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Solution

The fourth proportional to 417,039.60, 575,515.62 and 226,052.13 is: 311,952.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,039.60 : 575,515.62 = 226,052.13 : x
  2. Step 2: Convert to fraction form
    417,039.60/575,515.62 = 226,052.13/x
  3. Step 3: Cross multiply
    417,039.60x = 575,515.62 × 226,052.13
  4. Step 4: Simplify right side
    417,039.60x = 130,096,531,749.27
  5. Step 5: Solve for x
    x = 130,096,531,749.27/417,039.60
  6. Step 6: Final answer
    x = 311,952.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.