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Finding the Fourth Proportional to 314,076.80, 470,969.40 and 136,492.40

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Solution

The fourth proportional to 314,076.80, 470,969.40 and 136,492.40 is: 204,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,076.80 : 470,969.40 = 136,492.40 : x
  2. Step 2: Convert to fraction form
    314,076.80/470,969.40 = 136,492.40/x
  3. Step 3: Cross multiply
    314,076.80x = 470,969.40 × 136,492.40
  4. Step 4: Simplify right side
    314,076.80x = 64,283,743,732.56
  5. Step 5: Solve for x
    x = 64,283,743,732.56/314,076.80
  6. Step 6: Final answer
    x = 204,675.24

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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.