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Finding the Fourth Proportional to 476,741, 714,959.64 and 156,819.68

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Solution

The fourth proportional to 476,741, 714,959.64 and 156,819.68 is: 235,179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,741 : 714,959.64 = 156,819.68 : x
  2. Step 2: Convert to fraction form
    476,741/714,959.64 = 156,819.68/x
  3. Step 3: Cross multiply
    476,741x = 714,959.64 × 156,819.68
  4. Step 4: Simplify right side
    476,741x = 112,119,741,957.72
  5. Step 5: Solve for x
    x = 112,119,741,957.72/476,741
  6. Step 6: Final answer
    x = 235,179.57

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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.