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Finding the Fourth Proportional to 430,820.80, 646,231.20 and 194,624.80

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Solution

The fourth proportional to 430,820.80, 646,231.20 and 194,624.80 is: 291,937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,820.80 : 646,231.20 = 194,624.80 : x
  2. Step 2: Convert to fraction form
    430,820.80/646,231.20 = 194,624.80/x
  3. Step 3: Cross multiply
    430,820.80x = 646,231.20 × 194,624.80
  4. Step 4: Simplify right side
    430,820.80x = 125,772,618,053.76
  5. Step 5: Solve for x
    x = 125,772,618,053.76/430,820.80
  6. Step 6: Final answer
    x = 291,937.20

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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.