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Finding the Fourth Proportional to 496,032.92, 684,522.06 and 269,678.42

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Solution

The fourth proportional to 496,032.92, 684,522.06 and 269,678.42 is: 372,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,032.92 : 684,522.06 = 269,678.42 : x
  2. Step 2: Convert to fraction form
    496,032.92/684,522.06 = 269,678.42/x
  3. Step 3: Cross multiply
    496,032.92x = 684,522.06 × 269,678.42
  4. Step 4: Simplify right side
    496,032.92x = 184,600,827,595.95
  5. Step 5: Solve for x
    x = 184,600,827,595.95/496,032.92
  6. Step 6: Final answer
    x = 372,154.39

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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.