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Finding the Fourth Proportional to 476,834.24, 714,806.80 and 161,070.40

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Solution

The fourth proportional to 476,834.24, 714,806.80 and 161,070.40 is: 241,455.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,834.24 : 714,806.80 = 161,070.40 : x
  2. Step 2: Convert to fraction form
    476,834.24/714,806.80 = 161,070.40/x
  3. Step 3: Cross multiply
    476,834.24x = 714,806.80 × 161,070.40
  4. Step 4: Simplify right side
    476,834.24x = 115,134,217,198.72
  5. Step 5: Solve for x
    x = 115,134,217,198.72/476,834.24
  6. Step 6: Final answer
    x = 241,455.43

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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.