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Finding the Fourth Proportional to 381,675.66, 525,845.94 and 295,337.76

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Solution

The fourth proportional to 381,675.66, 525,845.94 and 295,337.76 is: 406,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,675.66 : 525,845.94 = 295,337.76 : x
  2. Step 2: Convert to fraction form
    381,675.66/525,845.94 = 295,337.76/x
  3. Step 3: Cross multiply
    381,675.66x = 525,845.94 × 295,337.76
  4. Step 4: Simplify right side
    381,675.66x = 155,302,162,024.69
  5. Step 5: Solve for x
    x = 155,302,162,024.69/381,675.66
  6. Step 6: Final answer
    x = 406,895.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.