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Finding the Fourth Proportional to 337,643.40, 465,880.50 and 186,711.24

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Solution

The fourth proportional to 337,643.40, 465,880.50 and 186,711.24 is: 257,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,643.40 : 465,880.50 = 186,711.24 : x
  2. Step 2: Convert to fraction form
    337,643.40/465,880.50 = 186,711.24/x
  3. Step 3: Cross multiply
    337,643.40x = 465,880.50 × 186,711.24
  4. Step 4: Simplify right side
    337,643.40x = 86,985,125,846.82
  5. Step 5: Solve for x
    x = 86,985,125,846.82/337,643.40
  6. Step 6: Final answer
    x = 257,624.24

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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.