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Finding the Fourth Proportional to 467,383, 644,988.54 and 266,197.72

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Solution

The fourth proportional to 467,383, 644,988.54 and 266,197.72 is: 367,352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,383 : 644,988.54 = 266,197.72 : x
  2. Step 2: Convert to fraction form
    467,383/644,988.54 = 266,197.72/x
  3. Step 3: Cross multiply
    467,383x = 644,988.54 × 266,197.72
  4. Step 4: Simplify right side
    467,383x = 171,694,478,774.13
  5. Step 5: Solve for x
    x = 171,694,478,774.13/467,383
  6. Step 6: Final answer
    x = 367,352.85

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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.