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Finding the Fourth Proportional to 475,703.58, 713,446.14 and 283,632.33

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Solution

The fourth proportional to 475,703.58, 713,446.14 and 283,632.33 is: 425,383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,703.58 : 713,446.14 = 283,632.33 : x
  2. Step 2: Convert to fraction form
    475,703.58/713,446.14 = 283,632.33/x
  3. Step 3: Cross multiply
    475,703.58x = 713,446.14 × 283,632.33
  4. Step 4: Simplify right side
    475,703.58x = 202,356,394,756.75
  5. Step 5: Solve for x
    x = 202,356,394,756.75/475,703.58
  6. Step 6: Final answer
    x = 425,383.37

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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.