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Finding the Fourth Proportional to 413,833.45, 620,651.75 and 114,307.40

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Solution

The fourth proportional to 413,833.45, 620,651.75 and 114,307.40 is: 171,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,833.45 : 620,651.75 = 114,307.40 : x
  2. Step 2: Convert to fraction form
    413,833.45/620,651.75 = 114,307.40/x
  3. Step 3: Cross multiply
    413,833.45x = 620,651.75 × 114,307.40
  4. Step 4: Simplify right side
    413,833.45x = 70,945,085,030.46
  5. Step 5: Solve for x
    x = 70,945,085,030.46/413,833.45
  6. Step 6: Final answer
    x = 171,433.91

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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.