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Finding the Fourth Proportional to 632,566.80, 872,944.29 and 346,086

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Solution

The fourth proportional to 632,566.80, 872,944.29 and 346,086 is: 477,599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,566.80 : 872,944.29 = 346,086 : x
  2. Step 2: Convert to fraction form
    632,566.80/872,944.29 = 346,086/x
  3. Step 3: Cross multiply
    632,566.80x = 872,944.29 × 346,086
  4. Step 4: Simplify right side
    632,566.80x = 302,113,797,548.94
  5. Step 5: Solve for x
    x = 302,113,797,548.94/632,566.80
  6. Step 6: Final answer
    x = 477,599.83

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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.