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Finding the Fourth Proportional to 316,980.80, 475,492.80 and 100,822.40

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Solution

The fourth proportional to 316,980.80, 475,492.80 and 100,822.40 is: 151,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,980.80 : 475,492.80 = 100,822.40 : x
  2. Step 2: Convert to fraction form
    316,980.80/475,492.80 = 100,822.40/x
  3. Step 3: Cross multiply
    316,980.80x = 475,492.80 × 100,822.40
  4. Step 4: Simplify right side
    316,980.80x = 47,940,325,278.72
  5. Step 5: Solve for x
    x = 47,940,325,278.72/316,980.80
  6. Step 6: Final answer
    x = 151,240.47

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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.