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Finding the Fourth Proportional to 447,657.60, 671,605.20 and 194,829.60

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Solution

The fourth proportional to 447,657.60, 671,605.20 and 194,829.60 is: 292,296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,657.60 : 671,605.20 = 194,829.60 : x
  2. Step 2: Convert to fraction form
    447,657.60/671,605.20 = 194,829.60/x
  3. Step 3: Cross multiply
    447,657.60x = 671,605.20 × 194,829.60
  4. Step 4: Simplify right side
    447,657.60x = 130,848,572,473.92
  5. Step 5: Solve for x
    x = 130,848,572,473.92/447,657.60
  6. Step 6: Final answer
    x = 292,296.10

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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.