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Finding the Fourth Proportional to 447,031.60, 670,666.20 and 194,203.60

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Solution

The fourth proportional to 447,031.60, 670,666.20 and 194,203.60 is: 291,357.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,031.60 : 670,666.20 = 194,203.60 : x
  2. Step 2: Convert to fraction form
    447,031.60/670,666.20 = 194,203.60/x
  3. Step 3: Cross multiply
    447,031.60x = 670,666.20 × 194,203.60
  4. Step 4: Simplify right side
    447,031.60x = 130,245,790,438.32
  5. Step 5: Solve for x
    x = 130,245,790,438.32/447,031.60
  6. Step 6: Final answer
    x = 291,357.01

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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.