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Finding the Fourth Proportional to 473,065.92, 709,744.68 and 283,736.52

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Solution

The fourth proportional to 473,065.92, 709,744.68 and 283,736.52 is: 425,692.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,065.92 : 709,744.68 = 283,736.52 : x
  2. Step 2: Convert to fraction form
    473,065.92/709,744.68 = 283,736.52/x
  3. Step 3: Cross multiply
    473,065.92x = 709,744.68 × 283,736.52
  4. Step 4: Simplify right side
    473,065.92x = 201,380,485,591.71
  5. Step 5: Solve for x
    x = 201,380,485,591.71/473,065.92
  6. Step 6: Final answer
    x = 425,692.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.