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Finding the Fourth Proportional to 496,097.52, 684,374.04 and 294,750.96

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Solution

The fourth proportional to 496,097.52, 684,374.04 and 294,750.96 is: 406,613.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,097.52 : 684,374.04 = 294,750.96 : x
  2. Step 2: Convert to fraction form
    496,097.52/684,374.04 = 294,750.96/x
  3. Step 3: Cross multiply
    496,097.52x = 684,374.04 × 294,750.96
  4. Step 4: Simplify right side
    496,097.52x = 201,719,905,289.08
  5. Step 5: Solve for x
    x = 201,719,905,289.08/496,097.52
  6. Step 6: Final answer
    x = 406,613.41

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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.