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Finding the Fourth Proportional to 820,984.88, 1,132,978.38 and 458,396.48

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Solution

The fourth proportional to 820,984.88, 1,132,978.38 and 458,396.48 is: 632,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,984.88 : 1,132,978.38 = 458,396.48 : x
  2. Step 2: Convert to fraction form
    820,984.88/1,132,978.38 = 458,396.48/x
  3. Step 3: Cross multiply
    820,984.88x = 1,132,978.38 × 458,396.48
  4. Step 4: Simplify right side
    820,984.88x = 519,353,301,308.10
  5. Step 5: Solve for x
    x = 519,353,301,308.10/820,984.88
  6. Step 6: Final answer
    x = 632,597.89

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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.