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Finding the Fourth Proportional to 335,680, 503,520 and 102,208

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Solution

The fourth proportional to 335,680, 503,520 and 102,208 is: 153,312

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,680 : 503,520 = 102,208 : x
  2. Step 2: Convert to fraction form
    335,680/503,520 = 102,208/x
  3. Step 3: Cross multiply
    335,680x = 503,520 × 102,208
  4. Step 4: Simplify right side
    335,680x = 51,463,772,160
  5. Step 5: Solve for x
    x = 51,463,772,160/335,680
  6. Step 6: Final answer
    x = 153,312

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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.