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Finding the Fourth Proportional to 447,357.88, 617,150.42 and 265,966.90

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Solution

The fourth proportional to 447,357.88, 617,150.42 and 265,966.90 is: 366,913.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,357.88 : 617,150.42 = 265,966.90 : x
  2. Step 2: Convert to fraction form
    447,357.88/617,150.42 = 265,966.90/x
  3. Step 3: Cross multiply
    447,357.88x = 617,150.42 × 265,966.90
  4. Step 4: Simplify right side
    447,357.88x = 164,141,584,041.10
  5. Step 5: Solve for x
    x = 164,141,584,041.10/447,357.88
  6. Step 6: Final answer
    x = 366,913.36

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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.