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Finding the Fourth Proportional to 228,364.40, 320,410 and 228,364.40

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Solution

The fourth proportional to 228,364.40, 320,410 and 228,364.40 is: 320,410

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,364.40 : 320,410 = 228,364.40 : x
  2. Step 2: Convert to fraction form
    228,364.40/320,410 = 228,364.40/x
  3. Step 3: Cross multiply
    228,364.40x = 320,410 × 228,364.40
  4. Step 4: Simplify right side
    228,364.40x = 73,170,237,404
  5. Step 5: Solve for x
    x = 73,170,237,404/228,364.40
  6. Step 6: Final answer
    x = 320,410

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.