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Finding the Fourth Proportional to 314,359.70, 471,275.08 and 136,732.94

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Solution

The fourth proportional to 314,359.70, 471,275.08 and 136,732.94 is: 204,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,359.70 : 471,275.08 = 136,732.94 : x
  2. Step 2: Convert to fraction form
    314,359.70/471,275.08 = 136,732.94/x
  3. Step 3: Cross multiply
    314,359.70x = 471,275.08 × 136,732.94
  4. Step 4: Simplify right side
    314,359.70x = 64,438,827,237.14
  5. Step 5: Solve for x
    x = 64,438,827,237.14/314,359.70
  6. Step 6: Final answer
    x = 204,984.38

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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.