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Finding the Fourth Proportional to 821,779.26, 1,134,052.88 and 459,203.46

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Solution

The fourth proportional to 821,779.26, 1,134,052.88 and 459,203.46 is: 633,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,779.26 : 1,134,052.88 = 459,203.46 : x
  2. Step 2: Convert to fraction form
    821,779.26/1,134,052.88 = 459,203.46/x
  3. Step 3: Cross multiply
    821,779.26x = 1,134,052.88 × 459,203.46
  4. Step 4: Simplify right side
    821,779.26x = 520,761,006,318.97
  5. Step 5: Solve for x
    x = 520,761,006,318.97/821,779.26
  6. Step 6: Final answer
    x = 633,699.38

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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.