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Finding the Fourth Proportional to 462,678.66, 638,308.65 and 301,474.89

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Solution

The fourth proportional to 462,678.66, 638,308.65 and 301,474.89 is: 415,912.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,678.66 : 638,308.65 = 301,474.89 : x
  2. Step 2: Convert to fraction form
    462,678.66/638,308.65 = 301,474.89/x
  3. Step 3: Cross multiply
    462,678.66x = 638,308.65 × 301,474.89
  4. Step 4: Simplify right side
    462,678.66x = 192,434,030,044.80
  5. Step 5: Solve for x
    x = 192,434,030,044.80/462,678.66
  6. Step 6: Final answer
    x = 415,912.91

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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.