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Finding the Fourth Proportional to 475,835.64, 713,940.27 and 209,409.27

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Solution

The fourth proportional to 475,835.64, 713,940.27 and 209,409.27 is: 314,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,835.64 : 713,940.27 = 209,409.27 : x
  2. Step 2: Convert to fraction form
    475,835.64/713,940.27 = 209,409.27/x
  3. Step 3: Cross multiply
    475,835.64x = 713,940.27 × 209,409.27
  4. Step 4: Simplify right side
    475,835.64x = 149,505,710,764.30
  5. Step 5: Solve for x
    x = 149,505,710,764.30/475,835.64
  6. Step 6: Final answer
    x = 314,196.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.