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Finding the Fourth Proportional to 475,882.51, 714,010.67 and 209,456.24

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Solution

The fourth proportional to 475,882.51, 714,010.67 and 209,456.24 is: 314,266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,882.51 : 714,010.67 = 209,456.24 : x
  2. Step 2: Convert to fraction form
    475,882.51/714,010.67 = 209,456.24/x
  3. Step 3: Cross multiply
    475,882.51x = 714,010.67 × 209,456.24
  4. Step 4: Simplify right side
    475,882.51x = 149,553,990,258.08
  5. Step 5: Solve for x
    x = 149,553,990,258.08/475,882.51
  6. Step 6: Final answer
    x = 314,266.62

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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.