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Finding the Fourth Proportional to 462,814.56, 638,666.64 and 261,614.88

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Solution

The fourth proportional to 462,814.56, 638,666.64 and 261,614.88 is: 361,018.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,814.56 : 638,666.64 = 261,614.88 : x
  2. Step 2: Convert to fraction form
    462,814.56/638,666.64 = 261,614.88/x
  3. Step 3: Cross multiply
    462,814.56x = 638,666.64 × 261,614.88
  4. Step 4: Simplify right side
    462,814.56x = 167,084,696,383.60
  5. Step 5: Solve for x
    x = 167,084,696,383.60/462,814.56
  6. Step 6: Final answer
    x = 361,018.67

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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.