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Finding the Fourth Proportional to 384,693.36, 577,044.36 and 118,451.76

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Solution

The fourth proportional to 384,693.36, 577,044.36 and 118,451.76 is: 177,678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,693.36 : 577,044.36 = 118,451.76 : x
  2. Step 2: Convert to fraction form
    384,693.36/577,044.36 = 118,451.76/x
  3. Step 3: Cross multiply
    384,693.36x = 577,044.36 × 118,451.76
  4. Step 4: Simplify right side
    384,693.36x = 68,351,920,040.07
  5. Step 5: Solve for x
    x = 68,351,920,040.07/384,693.36
  6. Step 6: Final answer
    x = 177,678.97

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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.