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Finding the Fourth Proportional to 312,960.88, 469,506.68 and 102,582.28

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Solution

The fourth proportional to 312,960.88, 469,506.68 and 102,582.28 is: 153,894.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,960.88 : 469,506.68 = 102,582.28 : x
  2. Step 2: Convert to fraction form
    312,960.88/469,506.68 = 102,582.28/x
  3. Step 3: Cross multiply
    312,960.88x = 469,506.68 × 102,582.28
  4. Step 4: Simplify right side
    312,960.88x = 48,163,065,709.63
  5. Step 5: Solve for x
    x = 48,163,065,709.63/312,960.88
  6. Step 6: Final answer
    x = 153,894.84

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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.