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Finding the Fourth Proportional to 565,966.14, 781,144.17 and 324,410.49

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Solution

The fourth proportional to 565,966.14, 781,144.17 and 324,410.49 is: 447,750.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,966.14 : 781,144.17 = 324,410.49 : x
  2. Step 2: Convert to fraction form
    565,966.14/781,144.17 = 324,410.49/x
  3. Step 3: Cross multiply
    565,966.14x = 781,144.17 × 324,410.49
  4. Step 4: Simplify right side
    565,966.14x = 253,411,362,950.34
  5. Step 5: Solve for x
    x = 253,411,362,950.34/565,966.14
  6. Step 6: Final answer
    x = 447,750.04

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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.