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Finding the Fourth Proportional to 704,816.88, 972,204.90 and 418,134

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Solution

The fourth proportional to 704,816.88, 972,204.90 and 418,134 is: 576,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,816.88 : 972,204.90 = 418,134 : x
  2. Step 2: Convert to fraction form
    704,816.88/972,204.90 = 418,134/x
  3. Step 3: Cross multiply
    704,816.88x = 972,204.90 × 418,134
  4. Step 4: Simplify right side
    704,816.88x = 406,511,923,656.60
  5. Step 5: Solve for x
    x = 406,511,923,656.60/704,816.88
  6. Step 6: Final answer
    x = 576,762.47

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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.