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Finding the Fourth Proportional to 447,024.60, 670,655.70 and 194,196.60

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Solution

The fourth proportional to 447,024.60, 670,655.70 and 194,196.60 is: 291,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,024.60 : 670,655.70 = 194,196.60 : x
  2. Step 2: Convert to fraction form
    447,024.60/670,655.70 = 194,196.60/x
  3. Step 3: Cross multiply
    447,024.60x = 670,655.70 × 194,196.60
  4. Step 4: Simplify right side
    447,024.60x = 130,239,056,710.62
  5. Step 5: Solve for x
    x = 130,239,056,710.62/447,024.60
  6. Step 6: Final answer
    x = 291,346.51

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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.