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Finding the Fourth Proportional to 317,354.98, 476,034.10 and 106,994.74

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Solution

The fourth proportional to 317,354.98, 476,034.10 and 106,994.74 is: 160,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,354.98 : 476,034.10 = 106,994.74 : x
  2. Step 2: Convert to fraction form
    317,354.98/476,034.10 = 106,994.74/x
  3. Step 3: Cross multiply
    317,354.98x = 476,034.10 × 106,994.74
  4. Step 4: Simplify right side
    317,354.98x = 50,933,144,760.63
  5. Step 5: Solve for x
    x = 50,933,144,760.63/317,354.98
  6. Step 6: Final answer
    x = 160,492.66

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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.