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Finding the Fourth Proportional to 516,682.84, 713,107.98 and 301,822.24

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Solution

The fourth proportional to 516,682.84, 713,107.98 and 301,822.24 is: 416,564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,682.84 : 713,107.98 = 301,822.24 : x
  2. Step 2: Convert to fraction form
    516,682.84/713,107.98 = 301,822.24/x
  3. Step 3: Cross multiply
    516,682.84x = 713,107.98 × 301,822.24
  4. Step 4: Simplify right side
    516,682.84x = 215,231,847,885.48
  5. Step 5: Solve for x
    x = 215,231,847,885.48/516,682.84
  6. Step 6: Final answer
    x = 416,564.73

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1.5x scale

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.