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Finding the Fourth Proportional to 496,066.46, 684,909.80 and 332,967.59

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Solution

The fourth proportional to 496,066.46, 684,909.80 and 332,967.59 is: 459,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,066.46 : 684,909.80 = 332,967.59 : x
  2. Step 2: Convert to fraction form
    496,066.46/684,909.80 = 332,967.59/x
  3. Step 3: Cross multiply
    496,066.46x = 684,909.80 × 332,967.59
  4. Step 4: Simplify right side
    496,066.46x = 228,052,760,384.00
  5. Step 5: Solve for x
    x = 228,052,760,384.00/496,066.46
  6. Step 6: Final answer
    x = 459,722.20

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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.