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Finding the Fourth Proportional to 416,914.56, 575,339.76 and 225,927.90

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Solution

The fourth proportional to 416,914.56, 575,339.76 and 225,927.90 is: 311,779.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,914.56 : 575,339.76 = 225,927.90 : x
  2. Step 2: Convert to fraction form
    416,914.56/575,339.76 = 225,927.90/x
  3. Step 3: Cross multiply
    416,914.56x = 575,339.76 × 225,927.90
  4. Step 4: Simplify right side
    416,914.56x = 129,985,303,763.30
  5. Step 5: Solve for x
    x = 129,985,303,763.30/416,914.56
  6. Step 6: Final answer
    x = 311,779.24

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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.