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Finding the Fourth Proportional to 601,080.39, 829,490.94 and 346,447.98

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Solution

The fourth proportional to 601,080.39, 829,490.94 and 346,447.98 is: 478,098.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,080.39 : 829,490.94 = 346,447.98 : x
  2. Step 2: Convert to fraction form
    601,080.39/829,490.94 = 346,447.98/x
  3. Step 3: Cross multiply
    601,080.39x = 829,490.94 × 346,447.98
  4. Step 4: Simplify right side
    601,080.39x = 287,375,460,591.30
  5. Step 5: Solve for x
    x = 287,375,460,591.30/601,080.39
  6. Step 6: Final answer
    x = 478,098.21

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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.