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Finding the Fourth Proportional to 475,993.98, 714,177.90 and 209,567.58

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Solution

The fourth proportional to 475,993.98, 714,177.90 and 209,567.58 is: 314,433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,993.98 : 714,177.90 = 209,567.58 : x
  2. Step 2: Convert to fraction form
    475,993.98/714,177.90 = 209,567.58/x
  3. Step 3: Cross multiply
    475,993.98x = 714,177.90 × 209,567.58
  4. Step 4: Simplify right side
    475,993.98x = 149,668,534,192.48
  5. Step 5: Solve for x
    x = 149,668,534,192.48/475,993.98
  6. Step 6: Final answer
    x = 314,433.67

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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.