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Finding the Fourth Proportional to 468,762.83, 646,859.13 and 275,178.40

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Solution

The fourth proportional to 468,762.83, 646,859.13 and 275,178.40 is: 379,726.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,762.83 : 646,859.13 = 275,178.40 : x
  2. Step 2: Convert to fraction form
    468,762.83/646,859.13 = 275,178.40/x
  3. Step 3: Cross multiply
    468,762.83x = 646,859.13 × 275,178.40
  4. Step 4: Simplify right side
    468,762.83x = 178,001,660,885.63
  5. Step 5: Solve for x
    x = 178,001,660,885.63/468,762.83
  6. Step 6: Final answer
    x = 379,726.48

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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.