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Finding the Fourth Proportional to 256,416.64, 384,102.72 and 209,200

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Solution

The fourth proportional to 256,416.64, 384,102.72 and 209,200 is: 313,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,416.64 : 384,102.72 = 209,200 : x
  2. Step 2: Convert to fraction form
    256,416.64/384,102.72 = 209,200/x
  3. Step 3: Cross multiply
    256,416.64x = 384,102.72 × 209,200
  4. Step 4: Simplify right side
    256,416.64x = 80,354,289,024
  5. Step 5: Solve for x
    x = 80,354,289,024/256,416.64
  6. Step 6: Final answer
    x = 313,373.93

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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.