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Finding the Fourth Proportional to 343,874.90, 514,828.20 and 304,508.90

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Solution

The fourth proportional to 343,874.90, 514,828.20 and 304,508.90 is: 455,891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,874.90 : 514,828.20 = 304,508.90 : x
  2. Step 2: Convert to fraction form
    343,874.90/514,828.20 = 304,508.90/x
  3. Step 3: Cross multiply
    343,874.90x = 514,828.20 × 304,508.90
  4. Step 4: Simplify right side
    343,874.90x = 156,769,768,870.98
  5. Step 5: Solve for x
    x = 156,769,768,870.98/343,874.90
  6. Step 6: Final answer
    x = 455,891.86

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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.