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Finding the Fourth Proportional to 347,082, 478,973.16 and 188,106

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Solution

The fourth proportional to 347,082, 478,973.16 and 188,106 is: 259,586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,082 : 478,973.16 = 188,106 : x
  2. Step 2: Convert to fraction form
    347,082/478,973.16 = 188,106/x
  3. Step 3: Cross multiply
    347,082x = 478,973.16 × 188,106
  4. Step 4: Simplify right side
    347,082x = 90,097,725,234.96
  5. Step 5: Solve for x
    x = 90,097,725,234.96/347,082
  6. Step 6: Final answer
    x = 259,586.28

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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.