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Finding the Fourth Proportional to 540,732.71, 746,223.91 and 299,020.01

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Solution

The fourth proportional to 540,732.71, 746,223.91 and 299,020.01 is: 412,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,732.71 : 746,223.91 = 299,020.01 : x
  2. Step 2: Convert to fraction form
    540,732.71/746,223.91 = 299,020.01/x
  3. Step 3: Cross multiply
    540,732.71x = 746,223.91 × 299,020.01
  4. Step 4: Simplify right side
    540,732.71x = 223,135,876,551.77
  5. Step 5: Solve for x
    x = 223,135,876,551.77/540,732.71
  6. Step 6: Final answer
    x = 412,654.67

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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.