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Finding the Fourth Proportional to 610,418.02, 914,446.23 and 343,367.14

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Solution

The fourth proportional to 610,418.02, 914,446.23 and 343,367.14 is: 514,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,418.02 : 914,446.23 = 343,367.14 : x
  2. Step 2: Convert to fraction form
    610,418.02/914,446.23 = 343,367.14/x
  3. Step 3: Cross multiply
    610,418.02x = 914,446.23 × 343,367.14
  4. Step 4: Simplify right side
    610,418.02x = 313,990,786,678.88
  5. Step 5: Solve for x
    x = 313,990,786,678.88/610,418.02
  6. Step 6: Final answer
    x = 514,386.50

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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.