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Finding the Fourth Proportional to 309,880.64, 427,649.28 and 242,696

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Solution

The fourth proportional to 309,880.64, 427,649.28 and 242,696 is: 334,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,880.64 : 427,649.28 = 242,696 : x
  2. Step 2: Convert to fraction form
    309,880.64/427,649.28 = 242,696/x
  3. Step 3: Cross multiply
    309,880.64x = 427,649.28 × 242,696
  4. Step 4: Simplify right side
    309,880.64x = 103,788,769,658.88
  5. Step 5: Solve for x
    x = 103,788,769,658.88/309,880.64
  6. Step 6: Final answer
    x = 334,931.44

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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.