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Finding the Fourth Proportional to 584,489.36, 806,779.10 and 342,869.60

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Solution

The fourth proportional to 584,489.36, 806,779.10 and 342,869.60 is: 473,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,489.36 : 806,779.10 = 342,869.60 : x
  2. Step 2: Convert to fraction form
    584,489.36/806,779.10 = 342,869.60/x
  3. Step 3: Cross multiply
    584,489.36x = 806,779.10 × 342,869.60
  4. Step 4: Simplify right side
    584,489.36x = 276,620,027,305.36
  5. Step 5: Solve for x
    x = 276,620,027,305.36/584,489.36
  6. Step 6: Final answer
    x = 473,267.86

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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.