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Finding the Fourth Proportional to 467,046, 644,524.20 and 265,842

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Solution

The fourth proportional to 467,046, 644,524.20 and 265,842 is: 366,862.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,046 : 644,524.20 = 265,842 : x
  2. Step 2: Convert to fraction form
    467,046/644,524.20 = 265,842/x
  3. Step 3: Cross multiply
    467,046x = 644,524.20 × 265,842
  4. Step 4: Simplify right side
    467,046x = 171,341,602,376.40
  5. Step 5: Solve for x
    x = 171,341,602,376.40/467,046
  6. Step 6: Final answer
    x = 366,862.37

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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.