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Finding the Fourth Proportional to 347,072, 478,962.24 and 188,096

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Solution

The fourth proportional to 347,072, 478,962.24 and 188,096 is: 259,574.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,072 : 478,962.24 = 188,096 : x
  2. Step 2: Convert to fraction form
    347,072/478,962.24 = 188,096/x
  3. Step 3: Cross multiply
    347,072x = 478,962.24 × 188,096
  4. Step 4: Simplify right side
    347,072x = 90,090,881,495.04
  5. Step 5: Solve for x
    x = 90,090,881,495.04/347,072
  6. Step 6: Final answer
    x = 259,574.04

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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.