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Finding the Fourth Proportional to 413,813.82, 620,708.46 and 114,312.42

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Solution

The fourth proportional to 413,813.82, 620,708.46 and 114,312.42 is: 171,465.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,813.82 : 620,708.46 = 114,312.42 : x
  2. Step 2: Convert to fraction form
    413,813.82/620,708.46 = 114,312.42/x
  3. Step 3: Cross multiply
    413,813.82x = 620,708.46 × 114,312.42
  4. Step 4: Simplify right side
    413,813.82x = 70,954,686,177.07
  5. Step 5: Solve for x
    x = 70,954,686,177.07/413,813.82
  6. Step 6: Final answer
    x = 171,465.24

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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.