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Finding the Fourth Proportional to 496,323.40, 684,987.09 and 292,363.78

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Solution

The fourth proportional to 496,323.40, 684,987.09 and 292,363.78 is: 403,497.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,323.40 : 684,987.09 = 292,363.78 : x
  2. Step 2: Convert to fraction form
    496,323.40/684,987.09 = 292,363.78/x
  3. Step 3: Cross multiply
    496,323.40x = 684,987.09 × 292,363.78
  4. Step 4: Simplify right side
    496,323.40x = 200,265,414,883.60
  5. Step 5: Solve for x
    x = 200,265,414,883.60/496,323.40
  6. Step 6: Final answer
    x = 403,497.83

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1.5x scale

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.