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Finding the Fourth Proportional to 467,908.16, 645,415.97 and 306,773.64

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Solution

The fourth proportional to 467,908.16, 645,415.97 and 306,773.64 is: 423,152.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,908.16 : 645,415.97 = 306,773.64 : x
  2. Step 2: Convert to fraction form
    467,908.16/645,415.97 = 306,773.64/x
  3. Step 3: Cross multiply
    467,908.16x = 645,415.97 × 306,773.64
  4. Step 4: Simplify right side
    467,908.16x = 197,996,604,897.16
  5. Step 5: Solve for x
    x = 197,996,604,897.16/467,908.16
  6. Step 6: Final answer
    x = 423,152.71

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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.