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Finding the Fourth Proportional to 704,814.88, 972,202.14 and 418,132

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Solution

The fourth proportional to 704,814.88, 972,202.14 and 418,132 is: 576,759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,814.88 : 972,202.14 = 418,132 : x
  2. Step 2: Convert to fraction form
    704,814.88/972,202.14 = 418,132/x
  3. Step 3: Cross multiply
    704,814.88x = 972,202.14 × 418,132
  4. Step 4: Simplify right side
    704,814.88x = 406,508,825,202.48
  5. Step 5: Solve for x
    x = 406,508,825,202.48/704,814.88
  6. Step 6: Final answer
    x = 576,759.71

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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.