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Finding the Fourth Proportional to 467,044.90, 644,262.69 and 306,159.46

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Solution

The fourth proportional to 467,044.90, 644,262.69 and 306,159.46 is: 422,330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,044.90 : 644,262.69 = 306,159.46 : x
  2. Step 2: Convert to fraction form
    467,044.90/644,262.69 = 306,159.46/x
  3. Step 3: Cross multiply
    467,044.90x = 644,262.69 × 306,159.46
  4. Step 4: Simplify right side
    467,044.90x = 197,247,117,268.55
  5. Step 5: Solve for x
    x = 197,247,117,268.55/467,044.90
  6. Step 6: Final answer
    x = 422,330.10

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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.