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Finding the Fourth Proportional to 405,117.32, 559,059.57 and 223,829.26

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Solution

The fourth proportional to 405,117.32, 559,059.57 and 223,829.26 is: 308,883.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,117.32 : 559,059.57 = 223,829.26 : x
  2. Step 2: Convert to fraction form
    405,117.32/559,059.57 = 223,829.26/x
  3. Step 3: Cross multiply
    405,117.32x = 559,059.57 × 223,829.26
  4. Step 4: Simplify right side
    405,117.32x = 125,133,888,451.37
  5. Step 5: Solve for x
    x = 125,133,888,451.37/405,117.32
  6. Step 6: Final answer
    x = 308,883.09

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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.