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Finding the Fourth Proportional to 475,997.00, 714,182.20 and 209,570.63

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Solution

The fourth proportional to 475,997.00, 714,182.20 and 209,570.63 is: 314,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,997.00 : 714,182.20 = 209,570.63 : x
  2. Step 2: Convert to fraction form
    475,997.00/714,182.20 = 209,570.63/x
  3. Step 3: Cross multiply
    475,997.00x = 714,182.20 × 209,570.63
  4. Step 4: Simplify right side
    475,997.00x = 149,671,609,493.95
  5. Step 5: Solve for x
    x = 149,671,609,493.95/475,997.00
  6. Step 6: Final answer
    x = 314,438.14

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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.