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Finding the Fourth Proportional to 496,250.52, 684,475.02 and 343,335.48

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Solution

The fourth proportional to 496,250.52, 684,475.02 and 343,335.48 is: 473,560.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,250.52 : 684,475.02 = 343,335.48 : x
  2. Step 2: Convert to fraction form
    496,250.52/684,475.02 = 343,335.48/x
  3. Step 3: Cross multiply
    496,250.52x = 684,475.02 × 343,335.48
  4. Step 4: Simplify right side
    496,250.52x = 235,004,559,539.71
  5. Step 5: Solve for x
    x = 235,004,559,539.71/496,250.52
  6. Step 6: Final answer
    x = 473,560.33

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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.