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Finding the Fourth Proportional to 523,028.74, 784,674.87 and 149,050.66

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Solution

The fourth proportional to 523,028.74, 784,674.87 and 149,050.66 is: 223,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,028.74 : 784,674.87 = 149,050.66 : x
  2. Step 2: Convert to fraction form
    523,028.74/784,674.87 = 149,050.66/x
  3. Step 3: Cross multiply
    523,028.74x = 784,674.87 × 149,050.66
  4. Step 4: Simplify right side
    523,028.74x = 116,956,307,258.91
  5. Step 5: Solve for x
    x = 116,956,307,258.91/523,028.74
  6. Step 6: Final answer
    x = 223,613.54

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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.