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Finding the Fourth Proportional to 420,838.31, 579,533.65 and 365,622.09

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Solution

The fourth proportional to 420,838.31, 579,533.65 and 365,622.09 is: 503,495.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,838.31 : 579,533.65 = 365,622.09 : x
  2. Step 2: Convert to fraction form
    420,838.31/579,533.65 = 365,622.09/x
  3. Step 3: Cross multiply
    420,838.31x = 579,533.65 × 365,622.09
  4. Step 4: Simplify right side
    420,838.31x = 211,890,303,996.74
  5. Step 5: Solve for x
    x = 211,890,303,996.74/420,838.31
  6. Step 6: Final answer
    x = 503,495.76

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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.