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Finding the Fourth Proportional to 475,643.52, 656,362.98 and 271,654.34

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Solution

The fourth proportional to 475,643.52, 656,362.98 and 271,654.34 is: 374,868.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,643.52 : 656,362.98 = 271,654.34 : x
  2. Step 2: Convert to fraction form
    475,643.52/656,362.98 = 271,654.34/x
  3. Step 3: Cross multiply
    475,643.52x = 656,362.98 × 271,654.34
  4. Step 4: Simplify right side
    475,643.52x = 178,303,852,132.33
  5. Step 5: Solve for x
    x = 178,303,852,132.33/475,643.52
  6. Step 6: Final answer
    x = 374,868.67

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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.