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Finding the Fourth Proportional to 820,779.22, 1,132,732.38 and 458,274.34

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Solution

The fourth proportional to 820,779.22, 1,132,732.38 and 458,274.34 is: 632,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,779.22 : 1,132,732.38 = 458,274.34 : x
  2. Step 2: Convert to fraction form
    820,779.22/1,132,732.38 = 458,274.34/x
  3. Step 3: Cross multiply
    820,779.22x = 1,132,732.38 × 458,274.34
  4. Step 4: Simplify right side
    820,779.22x = 519,102,183,841.13
  5. Step 5: Solve for x
    x = 519,102,183,841.13/820,779.22
  6. Step 6: Final answer
    x = 632,450.45

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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.