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Finding the Fourth Proportional to 271,681.40, 407,522.10 and 269,931.80

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Solution

The fourth proportional to 271,681.40, 407,522.10 and 269,931.80 is: 404,897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,681.40 : 407,522.10 = 269,931.80 : x
  2. Step 2: Convert to fraction form
    271,681.40/407,522.10 = 269,931.80/x
  3. Step 3: Cross multiply
    271,681.40x = 407,522.10 × 269,931.80
  4. Step 4: Simplify right side
    271,681.40x = 110,003,173,992.78
  5. Step 5: Solve for x
    x = 110,003,173,992.78/271,681.40
  6. Step 6: Final answer
    x = 404,897.70

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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.