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Finding the Fourth Proportional to 476,643.95, 714,902.22 and 177,083.67

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Solution

The fourth proportional to 476,643.95, 714,902.22 and 177,083.67 is: 265,601.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,643.95 : 714,902.22 = 177,083.67 : x
  2. Step 2: Convert to fraction form
    476,643.95/714,902.22 = 177,083.67/x
  3. Step 3: Cross multiply
    476,643.95x = 714,902.22 × 177,083.67
  4. Step 4: Simplify right side
    476,643.95x = 126,597,508,808.75
  5. Step 5: Solve for x
    x = 126,597,508,808.75/476,643.95
  6. Step 6: Final answer
    x = 265,601.84

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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.