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Finding the Fourth Proportional to 413,358.65, 620,175.94 and 160,647.15

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Solution

The fourth proportional to 413,358.65, 620,175.94 and 160,647.15 is: 241,024.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,358.65 : 620,175.94 = 160,647.15 : x
  2. Step 2: Convert to fraction form
    413,358.65/620,175.94 = 160,647.15/x
  3. Step 3: Cross multiply
    413,358.65x = 620,175.94 × 160,647.15
  4. Step 4: Simplify right side
    413,358.65x = 99,629,496,857.95
  5. Step 5: Solve for x
    x = 99,629,496,857.95/413,358.65
  6. Step 6: Final answer
    x = 241,024.35

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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.