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Finding the Fourth Proportional to 419,614.88, 629,971.02 and 249,147.74

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Solution

The fourth proportional to 419,614.88, 629,971.02 and 249,147.74 is: 374,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,614.88 : 629,971.02 = 249,147.74 : x
  2. Step 2: Convert to fraction form
    419,614.88/629,971.02 = 249,147.74/x
  3. Step 3: Cross multiply
    419,614.88x = 629,971.02 × 249,147.74
  4. Step 4: Simplify right side
    419,614.88x = 156,955,855,898.50
  5. Step 5: Solve for x
    x = 156,955,855,898.50/419,614.88
  6. Step 6: Final answer
    x = 374,047.40

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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.