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Finding the Fourth Proportional to 417,047.26, 575,509.80 and 226,056.55

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Solution

The fourth proportional to 417,047.26, 575,509.80 and 226,056.55 is: 311,949.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,047.26 : 575,509.80 = 226,056.55 : x
  2. Step 2: Convert to fraction form
    417,047.26/575,509.80 = 226,056.55/x
  3. Step 3: Cross multiply
    417,047.26x = 575,509.80 × 226,056.55
  4. Step 4: Simplify right side
    417,047.26x = 130,097,759,879.19
  5. Step 5: Solve for x
    x = 130,097,759,879.19/417,047.26
  6. Step 6: Final answer
    x = 311,949.68

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