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Finding the Fourth Proportional to 601,086.08, 829,311 and 346,402.64

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Solution

The fourth proportional to 601,086.08, 829,311 and 346,402.64 is: 477,927.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,086.08 : 829,311 = 346,402.64 : x
  2. Step 2: Convert to fraction form
    601,086.08/829,311 = 346,402.64/x
  3. Step 3: Cross multiply
    601,086.08x = 829,311 × 346,402.64
  4. Step 4: Simplify right side
    601,086.08x = 287,275,519,781.04
  5. Step 5: Solve for x
    x = 287,275,519,781.04/601,086.08
  6. Step 6: Final answer
    x = 477,927.42

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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.