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Finding the Fourth Proportional to 413,396.08, 620,159.10 and 176,740

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Solution

The fourth proportional to 413,396.08, 620,159.10 and 176,740 is: 265,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,396.08 : 620,159.10 = 176,740 : x
  2. Step 2: Convert to fraction form
    413,396.08/620,159.10 = 176,740/x
  3. Step 3: Cross multiply
    413,396.08x = 620,159.10 × 176,740
  4. Step 4: Simplify right side
    413,396.08x = 109,606,919,334
  5. Step 5: Solve for x
    x = 109,606,919,334/413,396.08
  6. Step 6: Final answer
    x = 265,137.78

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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.