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Finding the Fourth Proportional to 314,794.90, 472,301.70 and 137,429.20

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Solution

The fourth proportional to 314,794.90, 472,301.70 and 137,429.20 is: 206,191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,794.90 : 472,301.70 = 137,429.20 : x
  2. Step 2: Convert to fraction form
    314,794.90/472,301.70 = 137,429.20/x
  3. Step 3: Cross multiply
    314,794.90x = 472,301.70 × 137,429.20
  4. Step 4: Simplify right side
    314,794.90x = 64,908,044,789.64
  5. Step 5: Solve for x
    x = 64,908,044,789.64/314,794.90
  6. Step 6: Final answer
    x = 206,191.54

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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.