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Finding the Fourth Proportional to 405,113.34, 559,049.58 and 223,832.82

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Solution

The fourth proportional to 405,113.34, 559,049.58 and 223,832.82 is: 308,885.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,113.34 : 559,049.58 = 223,832.82 : x
  2. Step 2: Convert to fraction form
    405,113.34/559,049.58 = 223,832.82/x
  3. Step 3: Cross multiply
    405,113.34x = 559,049.58 × 223,832.82
  4. Step 4: Simplify right side
    405,113.34x = 125,133,644,011.22
  5. Step 5: Solve for x
    x = 125,133,644,011.22/405,113.34
  6. Step 6: Final answer
    x = 308,885.52

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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.