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Finding the Fourth Proportional to 475,907.92, 714,048.80 and 209,481.66

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Solution

The fourth proportional to 475,907.92, 714,048.80 and 209,481.66 is: 314,304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,907.92 : 714,048.80 = 209,481.66 : x
  2. Step 2: Convert to fraction form
    475,907.92/714,048.80 = 209,481.66/x
  3. Step 3: Cross multiply
    475,907.92x = 714,048.80 × 209,481.66
  4. Step 4: Simplify right side
    475,907.92x = 149,580,127,945.01
  5. Step 5: Solve for x
    x = 149,580,127,945.01/475,907.92
  6. Step 6: Final answer
    x = 314,304.77

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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.