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Finding the Fourth Proportional to 600,965.12, 829,300.38 and 328,980.94

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Solution

The fourth proportional to 600,965.12, 829,300.38 and 328,980.94 is: 453,976.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,965.12 : 829,300.38 = 328,980.94 : x
  2. Step 2: Convert to fraction form
    600,965.12/829,300.38 = 328,980.94/x
  3. Step 3: Cross multiply
    600,965.12x = 829,300.38 × 328,980.94
  4. Step 4: Simplify right side
    600,965.12x = 272,824,019,912.64
  5. Step 5: Solve for x
    x = 272,824,019,912.64/600,965.12
  6. Step 6: Final answer
    x = 453,976.46

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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.