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Finding the Fourth Proportional to 314,729.80, 472,094.70 and 252,521.80

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Solution

The fourth proportional to 314,729.80, 472,094.70 and 252,521.80 is: 378,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,729.80 : 472,094.70 = 252,521.80 : x
  2. Step 2: Convert to fraction form
    314,729.80/472,094.70 = 252,521.80/x
  3. Step 3: Cross multiply
    314,729.80x = 472,094.70 × 252,521.80
  4. Step 4: Simplify right side
    314,729.80x = 119,214,203,414.46
  5. Step 5: Solve for x
    x = 119,214,203,414.46/314,729.80
  6. Step 6: Final answer
    x = 378,782.70

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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.