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Finding the Fourth Proportional to 537,007.82, 741,075.39 and 307,586.05

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Solution

The fourth proportional to 537,007.82, 741,075.39 and 307,586.05 is: 424,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,007.82 : 741,075.39 = 307,586.05 : x
  2. Step 2: Convert to fraction form
    537,007.82/741,075.39 = 307,586.05/x
  3. Step 3: Cross multiply
    537,007.82x = 741,075.39 × 307,586.05
  4. Step 4: Simplify right side
    537,007.82x = 227,944,450,109.62
  5. Step 5: Solve for x
    x = 227,944,450,109.62/537,007.82
  6. Step 6: Final answer
    x = 424,471.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.