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Finding the Fourth Proportional to 344,564.40, 475,509.18 and 208,623.24

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Solution

The fourth proportional to 344,564.40, 475,509.18 and 208,623.24 is: 287,906.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,564.40 : 475,509.18 = 208,623.24 : x
  2. Step 2: Convert to fraction form
    344,564.40/475,509.18 = 208,623.24/x
  3. Step 3: Cross multiply
    344,564.40x = 475,509.18 × 208,623.24
  4. Step 4: Simplify right side
    344,564.40x = 99,202,265,781.34
  5. Step 5: Solve for x
    x = 99,202,265,781.34/344,564.40
  6. Step 6: Final answer
    x = 287,906.31

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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.