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Finding the Fourth Proportional to 343,410.60, 515,115.90 and 194,111.40

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Solution

The fourth proportional to 343,410.60, 515,115.90 and 194,111.40 is: 291,167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,410.60 : 515,115.90 = 194,111.40 : x
  2. Step 2: Convert to fraction form
    343,410.60/515,115.90 = 194,111.40/x
  3. Step 3: Cross multiply
    343,410.60x = 515,115.90 × 194,111.40
  4. Step 4: Simplify right side
    343,410.60x = 99,989,868,511.26
  5. Step 5: Solve for x
    x = 99,989,868,511.26/343,410.60
  6. Step 6: Final answer
    x = 291,167.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.