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Finding the Fourth Proportional to 413,330, 620,000.76 and 117,842

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Solution

The fourth proportional to 413,330, 620,000.76 and 117,842 is: 176,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,330 : 620,000.76 = 117,842 : x
  2. Step 2: Convert to fraction form
    413,330/620,000.76 = 117,842/x
  3. Step 3: Cross multiply
    413,330x = 620,000.76 × 117,842
  4. Step 4: Simplify right side
    413,330x = 73,062,129,559.92
  5. Step 5: Solve for x
    x = 73,062,129,559.92/413,330
  6. Step 6: Final answer
    x = 176,764.64

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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.