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Finding the Fourth Proportional to 567,335.64, 782,912.84 and 309,214.82

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Solution

The fourth proportional to 567,335.64, 782,912.84 and 309,214.82 is: 426,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,335.64 : 782,912.84 = 309,214.82 : x
  2. Step 2: Convert to fraction form
    567,335.64/782,912.84 = 309,214.82/x
  3. Step 3: Cross multiply
    567,335.64x = 782,912.84 × 309,214.82
  4. Step 4: Simplify right side
    567,335.64x = 242,088,252,896.29
  5. Step 5: Solve for x
    x = 242,088,252,896.29/567,335.64
  6. Step 6: Final answer
    x = 426,710.81

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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.