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Finding the Fourth Proportional to 614,963.80, 848,651.33 and 343,024.67

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Solution

The fourth proportional to 614,963.80, 848,651.33 and 343,024.67 is: 473,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,963.80 : 848,651.33 = 343,024.67 : x
  2. Step 2: Convert to fraction form
    614,963.80/848,651.33 = 343,024.67/x
  3. Step 3: Cross multiply
    614,963.80x = 848,651.33 × 343,024.67
  4. Step 4: Simplify right side
    614,963.80x = 291,108,342,418.31
  5. Step 5: Solve for x
    x = 291,108,342,418.31/614,963.80
  6. Step 6: Final answer
    x = 473,374.76

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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.