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Finding the Fourth Proportional to 475,964.37, 714,133.49 and 209,537.96

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Solution

The fourth proportional to 475,964.37, 714,133.49 and 209,537.96 is: 314,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,964.37 : 714,133.49 = 209,537.96 : x
  2. Step 2: Convert to fraction form
    475,964.37/714,133.49 = 209,537.96/x
  3. Step 3: Cross multiply
    475,964.37x = 714,133.49 × 209,537.96
  4. Step 4: Simplify right side
    475,964.37x = 149,638,070,043.92
  5. Step 5: Solve for x
    x = 149,638,070,043.92/475,964.37
  6. Step 6: Final answer
    x = 314,389.23

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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.