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Finding the Fourth Proportional to 413,176.13, 620,026.37 and 176,520.59

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Solution

The fourth proportional to 413,176.13, 620,026.37 and 176,520.59 is: 264,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,176.13 : 620,026.37 = 176,520.59 : x
  2. Step 2: Convert to fraction form
    413,176.13/620,026.37 = 176,520.59/x
  3. Step 3: Cross multiply
    413,176.13x = 620,026.37 × 176,520.59
  4. Step 4: Simplify right side
    413,176.13x = 109,447,416,665.22
  5. Step 5: Solve for x
    x = 109,447,416,665.22/413,176.13
  6. Step 6: Final answer
    x = 264,892.89

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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.