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Finding the Fourth Proportional to 690,698.82, 953,193.24 and 384,775.14

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Solution

The fourth proportional to 690,698.82, 953,193.24 and 384,775.14 is: 531,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,698.82 : 953,193.24 = 384,775.14 : x
  2. Step 2: Convert to fraction form
    690,698.82/953,193.24 = 384,775.14/x
  3. Step 3: Cross multiply
    690,698.82x = 953,193.24 × 384,775.14
  4. Step 4: Simplify right side
    690,698.82x = 366,765,062,368.05
  5. Step 5: Solve for x
    x = 366,765,062,368.05/690,698.82
  6. Step 6: Final answer
    x = 531,005.78

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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.