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Finding the Fourth Proportional to 496,002.81, 684,488.74 and 269,653.17

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Solution

The fourth proportional to 496,002.81, 684,488.74 and 269,653.17 is: 372,124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,002.81 : 684,488.74 = 269,653.17 : x
  2. Step 2: Convert to fraction form
    496,002.81/684,488.74 = 269,653.17/x
  3. Step 3: Cross multiply
    496,002.81x = 684,488.74 × 269,653.17
  4. Step 4: Simplify right side
    496,002.81x = 184,574,558,570.31
  5. Step 5: Solve for x
    x = 184,574,558,570.31/496,002.81
  6. Step 6: Final answer
    x = 372,124.02

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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.