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Finding the Fourth Proportional to 496,171.72, 684,746.88 and 292,358.50

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Solution

The fourth proportional to 496,171.72, 684,746.88 and 292,358.50 is: 403,472.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,171.72 : 684,746.88 = 292,358.50 : x
  2. Step 2: Convert to fraction form
    496,171.72/684,746.88 = 292,358.50/x
  3. Step 3: Cross multiply
    496,171.72x = 684,746.88 × 292,358.50
  4. Step 4: Simplify right side
    496,171.72x = 200,191,570,716.48
  5. Step 5: Solve for x
    x = 200,191,570,716.48/496,171.72
  6. Step 6: Final answer
    x = 403,472.35

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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.