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Finding the Fourth Proportional to 309,956.76, 464,491.53 and 176,561.51

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Solution

The fourth proportional to 309,956.76, 464,491.53 and 176,561.51 is: 264,589.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,956.76 : 464,491.53 = 176,561.51 : x
  2. Step 2: Convert to fraction form
    309,956.76/464,491.53 = 176,561.51/x
  3. Step 3: Cross multiply
    309,956.76x = 464,491.53 × 176,561.51
  4. Step 4: Simplify right side
    309,956.76x = 82,011,323,596.55
  5. Step 5: Solve for x
    x = 82,011,323,596.55/309,956.76
  6. Step 6: Final answer
    x = 264,589.56

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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.