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Finding the Fourth Proportional to 433,894.40, 650,841.60 and 307,923.20

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Solution

The fourth proportional to 433,894.40, 650,841.60 and 307,923.20 is: 461,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,894.40 : 650,841.60 = 307,923.20 : x
  2. Step 2: Convert to fraction form
    433,894.40/650,841.60 = 307,923.20/x
  3. Step 3: Cross multiply
    433,894.40x = 650,841.60 × 307,923.20
  4. Step 4: Simplify right side
    433,894.40x = 200,409,228,165.12
  5. Step 5: Solve for x
    x = 200,409,228,165.12/433,894.40
  6. Step 6: Final answer
    x = 461,884.80

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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.