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Finding the Fourth Proportional to 475,988.02, 714,195.26 and 259,917.82

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Solution

The fourth proportional to 475,988.02, 714,195.26 and 259,917.82 is: 389,993.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,988.02 : 714,195.26 = 259,917.82 : x
  2. Step 2: Convert to fraction form
    475,988.02/714,195.26 = 259,917.82/x
  3. Step 3: Cross multiply
    475,988.02x = 714,195.26 × 259,917.82
  4. Step 4: Simplify right side
    475,988.02x = 185,632,075,033.53
  5. Step 5: Solve for x
    x = 185,632,075,033.53/475,988.02
  6. Step 6: Final answer
    x = 389,993.17

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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.