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Finding the Fourth Proportional to 343,191.12, 514,217.64 and 242,853.96

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Solution

The fourth proportional to 343,191.12, 514,217.64 and 242,853.96 is: 363,878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,191.12 : 514,217.64 = 242,853.96 : x
  2. Step 2: Convert to fraction form
    343,191.12/514,217.64 = 242,853.96/x
  3. Step 3: Cross multiply
    343,191.12x = 514,217.64 × 242,853.96
  4. Step 4: Simplify right side
    343,191.12x = 124,879,790,175.85
  5. Step 5: Solve for x
    x = 124,879,790,175.85/343,191.12
  6. Step 6: Final answer
    x = 363,878.27

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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.