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Finding the Fourth Proportional to 496,133, 684,663.54 and 269,780.12

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Solution

The fourth proportional to 496,133, 684,663.54 and 269,780.12 is: 372,296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,133 : 684,663.54 = 269,780.12 : x
  2. Step 2: Convert to fraction form
    496,133/684,663.54 = 269,780.12/x
  3. Step 3: Cross multiply
    496,133x = 684,663.54 × 269,780.12
  4. Step 4: Simplify right side
    496,133x = 184,708,611,980.83
  5. Step 5: Solve for x
    x = 184,708,611,980.83/496,133
  6. Step 6: Final answer
    x = 372,296.57

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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.