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Finding the Fourth Proportional to 430,844.80, 646,267.20 and 194,648.80

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Solution

The fourth proportional to 430,844.80, 646,267.20 and 194,648.80 is: 291,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,844.80 : 646,267.20 = 194,648.80 : x
  2. Step 2: Convert to fraction form
    430,844.80/646,267.20 = 194,648.80/x
  3. Step 3: Cross multiply
    430,844.80x = 646,267.20 × 194,648.80
  4. Step 4: Simplify right side
    430,844.80x = 125,795,134,959.36
  5. Step 5: Solve for x
    x = 125,795,134,959.36/430,844.80
  6. Step 6: Final answer
    x = 291,973.20

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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.